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Finding the Fourth Proportional to 19,703.84, 27,152.16 and 19,458.56

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Solution

The fourth proportional to 19,703.84, 27,152.16 and 19,458.56 is: 26,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.84 : 27,152.16 = 19,458.56 : x
  2. Step 2: Convert to fraction form
    19,703.84/27,152.16 = 19,458.56/x
  3. Step 3: Cross multiply
    19,703.84x = 27,152.16 × 19,458.56
  4. Step 4: Simplify right side
    19,703.84x = 528,341,934.49
  5. Step 5: Solve for x
    x = 528,341,934.49/19,703.84
  6. Step 6: Final answer
    x = 26,814.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.