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Finding the Fourth Proportional to 23,506.52, 32,441.10 and 12,898.22

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Solution

The fourth proportional to 23,506.52, 32,441.10 and 12,898.22 is: 17,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.52 : 32,441.10 = 12,898.22 : x
  2. Step 2: Convert to fraction form
    23,506.52/32,441.10 = 12,898.22/x
  3. Step 3: Cross multiply
    23,506.52x = 32,441.10 × 12,898.22
  4. Step 4: Simplify right side
    23,506.52x = 418,432,444.84
  5. Step 5: Solve for x
    x = 418,432,444.84/23,506.52
  6. Step 6: Final answer
    x = 17,800.70

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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.