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Finding the Fourth Proportional to 10,501.47, 15,752.23 and 9,859.95

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Solution

The fourth proportional to 10,501.47, 15,752.23 and 9,859.95 is: 14,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.47 : 15,752.23 = 9,859.95 : x
  2. Step 2: Convert to fraction form
    10,501.47/15,752.23 = 9,859.95/x
  3. Step 3: Cross multiply
    10,501.47x = 15,752.23 × 9,859.95
  4. Step 4: Simplify right side
    10,501.47x = 155,316,200.19
  5. Step 5: Solve for x
    x = 155,316,200.19/10,501.47
  6. Step 6: Final answer
    x = 14,789.95

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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.