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Finding the Fourth Proportional to 19,707.84, 29,387.52 and 19,532.16

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Solution

The fourth proportional to 19,707.84, 29,387.52 and 19,532.16 is: 29,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.84 : 29,387.52 = 19,532.16 : x
  2. Step 2: Convert to fraction form
    19,707.84/29,387.52 = 19,532.16/x
  3. Step 3: Cross multiply
    19,707.84x = 29,387.52 × 19,532.16
  4. Step 4: Simplify right side
    19,707.84x = 574,001,742.64
  5. Step 5: Solve for x
    x = 574,001,742.64/19,707.84
  6. Step 6: Final answer
    x = 29,125.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.