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Finding the Fourth Proportional to 15,716.69, 21,688.05 and 9,000.78

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Solution

The fourth proportional to 15,716.69, 21,688.05 and 9,000.78 is: 12,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.69 : 21,688.05 = 9,000.78 : x
  2. Step 2: Convert to fraction form
    15,716.69/21,688.05 = 9,000.78/x
  3. Step 3: Cross multiply
    15,716.69x = 21,688.05 × 9,000.78
  4. Step 4: Simplify right side
    15,716.69x = 195,209,366.68
  5. Step 5: Solve for x
    x = 195,209,366.68/15,716.69
  6. Step 6: Final answer
    x = 12,420.52

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