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Finding the Fourth Proportional to 14,143.53, 19,502.08 and 9,032.33

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Solution

The fourth proportional to 14,143.53, 19,502.08 and 9,032.33 is: 12,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.53 : 19,502.08 = 9,032.33 : x
  2. Step 2: Convert to fraction form
    14,143.53/19,502.08 = 9,032.33/x
  3. Step 3: Cross multiply
    14,143.53x = 19,502.08 × 9,032.33
  4. Step 4: Simplify right side
    14,143.53x = 176,149,248.42
  5. Step 5: Solve for x
    x = 176,149,248.42/14,143.53
  6. Step 6: Final answer
    x = 12,454.40

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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.