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Finding the Fourth Proportional to 23,302.16, 32,157.03 and 12,691.76

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Solution

The fourth proportional to 23,302.16, 32,157.03 and 12,691.76 is: 17,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302.16 : 32,157.03 = 12,691.76 : x
  2. Step 2: Convert to fraction form
    23,302.16/32,157.03 = 12,691.76/x
  3. Step 3: Cross multiply
    23,302.16x = 32,157.03 × 12,691.76
  4. Step 4: Simplify right side
    23,302.16x = 408,129,307.07
  5. Step 5: Solve for x
    x = 408,129,307.07/23,302.16
  6. Step 6: Final answer
    x = 17,514.66

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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.