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Finding the Fourth Proportional to 22,509.76, 31,063.35 and 12,438.90

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Solution

The fourth proportional to 22,509.76, 31,063.35 and 12,438.90 is: 17,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.76 : 31,063.35 = 12,438.90 : x
  2. Step 2: Convert to fraction form
    22,509.76/31,063.35 = 12,438.90/x
  3. Step 3: Cross multiply
    22,509.76x = 31,063.35 × 12,438.90
  4. Step 4: Simplify right side
    22,509.76x = 386,393,904.32
  5. Step 5: Solve for x
    x = 386,393,904.32/22,509.76
  6. Step 6: Final answer
    x = 17,165.62

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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.