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Finding the Fourth Proportional to 23,465.39, 32,381.96 and 12,710.09

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Solution

The fourth proportional to 23,465.39, 32,381.96 and 12,710.09 is: 17,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465.39 : 32,381.96 = 12,710.09 : x
  2. Step 2: Convert to fraction form
    23,465.39/32,381.96 = 12,710.09/x
  3. Step 3: Cross multiply
    23,465.39x = 32,381.96 × 12,710.09
  4. Step 4: Simplify right side
    23,465.39x = 411,577,400.52
  5. Step 5: Solve for x
    x = 411,577,400.52/23,465.39
  6. Step 6: Final answer
    x = 17,539.77

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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.