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Finding the Fourth Proportional to 19,823.84, 29,730.88 and 9,301.12

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Solution

The fourth proportional to 19,823.84, 29,730.88 and 9,301.12 is: 13,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.84 : 29,730.88 = 9,301.12 : x
  2. Step 2: Convert to fraction form
    19,823.84/29,730.88 = 9,301.12/x
  3. Step 3: Cross multiply
    19,823.84x = 29,730.88 × 9,301.12
  4. Step 4: Simplify right side
    19,823.84x = 276,530,482.59
  5. Step 5: Solve for x
    x = 276,530,482.59/19,823.84
  6. Step 6: Final answer
    x = 13,949.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.