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Finding the Fourth Proportional to 15,742.77, 21,718.17 and 9,451.50

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Solution

The fourth proportional to 15,742.77, 21,718.17 and 9,451.50 is: 13,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.77 : 21,718.17 = 9,451.50 : x
  2. Step 2: Convert to fraction form
    15,742.77/21,718.17 = 9,451.50/x
  3. Step 3: Cross multiply
    15,742.77x = 21,718.17 × 9,451.50
  4. Step 4: Simplify right side
    15,742.77x = 205,269,283.76
  5. Step 5: Solve for x
    x = 205,269,283.76/15,742.77
  6. Step 6: Final answer
    x = 13,038.96

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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.