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Finding the Fourth Proportional to 23,507.72, 32,442.70 and 12,899.42

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Solution

The fourth proportional to 23,507.72, 32,442.70 and 12,899.42 is: 17,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.72 : 32,442.70 = 12,899.42 : x
  2. Step 2: Convert to fraction form
    23,507.72/32,442.70 = 12,899.42/x
  3. Step 3: Cross multiply
    23,507.72x = 32,442.70 × 12,899.42
  4. Step 4: Simplify right side
    23,507.72x = 418,492,013.23
  5. Step 5: Solve for x
    x = 418,492,013.23/23,507.72
  6. Step 6: Final answer
    x = 17,802.32

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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.