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Finding the Fourth Proportional to 23,291.30, 32,142.07 and 12,681.01

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Solution

The fourth proportional to 23,291.30, 32,142.07 and 12,681.01 is: 17,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291.30 : 32,142.07 = 12,681.01 : x
  2. Step 2: Convert to fraction form
    23,291.30/32,142.07 = 12,681.01/x
  3. Step 3: Cross multiply
    23,291.30x = 32,142.07 × 12,681.01
  4. Step 4: Simplify right side
    23,291.30x = 407,593,799.03
  5. Step 5: Solve for x
    x = 407,593,799.03/23,291.30
  6. Step 6: Final answer
    x = 17,499.83

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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.