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Finding the Fourth Proportional to 14,922.53, 22,430.27 and 9,411.29

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Solution

The fourth proportional to 14,922.53, 22,430.27 and 9,411.29 is: 14,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.53 : 22,430.27 = 9,411.29 : x
  2. Step 2: Convert to fraction form
    14,922.53/22,430.27 = 9,411.29/x
  3. Step 3: Cross multiply
    14,922.53x = 22,430.27 × 9,411.29
  4. Step 4: Simplify right side
    14,922.53x = 211,097,687.13
  5. Step 5: Solve for x
    x = 211,097,687.13/14,922.53
  6. Step 6: Final answer
    x = 14,146.24

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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.