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Finding the Fourth Proportional to 23,390.64, 32,280 and 12,780.72

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Solution

The fourth proportional to 23,390.64, 32,280 and 12,780.72 is: 17,637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,390.64 : 32,280 = 12,780.72 : x
  2. Step 2: Convert to fraction form
    23,390.64/32,280 = 12,780.72/x
  3. Step 3: Cross multiply
    23,390.64x = 32,280 × 12,780.72
  4. Step 4: Simplify right side
    23,390.64x = 412,561,641.60
  5. Step 5: Solve for x
    x = 412,561,641.60/23,390.64
  6. Step 6: Final answer
    x = 17,637.89

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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.