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Finding the Fourth Proportional to 14,828.76, 20,466 and 9,529.20

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Solution

The fourth proportional to 14,828.76, 20,466 and 9,529.20 is: 13,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.76 : 20,466 = 9,529.20 : x
  2. Step 2: Convert to fraction form
    14,828.76/20,466 = 9,529.20/x
  3. Step 3: Cross multiply
    14,828.76x = 20,466 × 9,529.20
  4. Step 4: Simplify right side
    14,828.76x = 195,024,607.20
  5. Step 5: Solve for x
    x = 195,024,607.20/14,828.76
  6. Step 6: Final answer
    x = 13,151.78

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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.