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Finding the Fourth Proportional to 19,564.80, 29,366.40 and 9,715.20

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Solution

The fourth proportional to 19,564.80, 29,366.40 and 9,715.20 is: 14,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.80 : 29,366.40 = 9,715.20 : x
  2. Step 2: Convert to fraction form
    19,564.80/29,366.40 = 9,715.20/x
  3. Step 3: Cross multiply
    19,564.80x = 29,366.40 × 9,715.20
  4. Step 4: Simplify right side
    19,564.80x = 285,300,449.28
  5. Step 5: Solve for x
    x = 285,300,449.28/19,564.80
  6. Step 6: Final answer
    x = 14,582.33

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