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Finding the Fourth Proportional to 14,711.61, 22,059 and 4,848.24

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Solution

The fourth proportional to 14,711.61, 22,059 and 4,848.24 is: 7,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.61 : 22,059 = 4,848.24 : x
  2. Step 2: Convert to fraction form
    14,711.61/22,059 = 4,848.24/x
  3. Step 3: Cross multiply
    14,711.61x = 22,059 × 4,848.24
  4. Step 4: Simplify right side
    14,711.61x = 106,947,326.16
  5. Step 5: Solve for x
    x = 106,947,326.16/14,711.61
  6. Step 6: Final answer
    x = 7,269.59

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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.