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Finding the Fourth Proportional to 12,637.60, 18,957.36 and 9,680.32

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Solution

The fourth proportional to 12,637.60, 18,957.36 and 9,680.32 is: 14,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637.60 : 18,957.36 = 9,680.32 : x
  2. Step 2: Convert to fraction form
    12,637.60/18,957.36 = 9,680.32/x
  3. Step 3: Cross multiply
    12,637.60x = 18,957.36 × 9,680.32
  4. Step 4: Simplify right side
    12,637.60x = 183,513,311.16
  5. Step 5: Solve for x
    x = 183,513,311.16/12,637.60
  6. Step 6: Final answer
    x = 14,521.22

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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.