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Finding the Fourth Proportional to 12,657.72, 18,985.86 and 3,423

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Solution

The fourth proportional to 12,657.72, 18,985.86 and 3,423 is: 5,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.72 : 18,985.86 = 3,423 : x
  2. Step 2: Convert to fraction form
    12,657.72/18,985.86 = 3,423/x
  3. Step 3: Cross multiply
    12,657.72x = 18,985.86 × 3,423
  4. Step 4: Simplify right side
    12,657.72x = 64,988,598.78
  5. Step 5: Solve for x
    x = 64,988,598.78/12,657.72
  6. Step 6: Final answer
    x = 5,134.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.