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Finding the Fourth Proportional to 14,456.48, 19,955.52 and 12,432

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Solution

The fourth proportional to 14,456.48, 19,955.52 and 12,432 is: 17,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.48 : 19,955.52 = 12,432 : x
  2. Step 2: Convert to fraction form
    14,456.48/19,955.52 = 12,432/x
  3. Step 3: Cross multiply
    14,456.48x = 19,955.52 × 12,432
  4. Step 4: Simplify right side
    14,456.48x = 248,087,024.64
  5. Step 5: Solve for x
    x = 248,087,024.64/14,456.48
  6. Step 6: Final answer
    x = 17,160.96

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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.