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Finding the Fourth Proportional to 14,375.52, 21,541.24 and 9,678.16

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Solution

The fourth proportional to 14,375.52, 21,541.24 and 9,678.16 is: 14,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,375.52 : 21,541.24 = 9,678.16 : x
  2. Step 2: Convert to fraction form
    14,375.52/21,541.24 = 9,678.16/x
  3. Step 3: Cross multiply
    14,375.52x = 21,541.24 × 9,678.16
  4. Step 4: Simplify right side
    14,375.52x = 208,479,567.32
  5. Step 5: Solve for x
    x = 208,479,567.32/14,375.52
  6. Step 6: Final answer
    x = 14,502.40

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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.