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Finding the Fourth Proportional to 23,509, 32,442.72 and 12,898.40

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Solution

The fourth proportional to 23,509, 32,442.72 and 12,898.40 is: 17,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509 : 32,442.72 = 12,898.40 : x
  2. Step 2: Convert to fraction form
    23,509/32,442.72 = 12,898.40/x
  3. Step 3: Cross multiply
    23,509x = 32,442.72 × 12,898.40
  4. Step 4: Simplify right side
    23,509x = 418,459,179.65
  5. Step 5: Solve for x
    x = 418,459,179.65/23,509
  6. Step 6: Final answer
    x = 17,799.96

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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.