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Finding the Fourth Proportional to 19,678.68, 29,459.52 and 19,652.76

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Solution

The fourth proportional to 19,678.68, 29,459.52 and 19,652.76 is: 29,420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.68 : 29,459.52 = 19,652.76 : x
  2. Step 2: Convert to fraction form
    19,678.68/29,459.52 = 19,652.76/x
  3. Step 3: Cross multiply
    19,678.68x = 29,459.52 × 19,652.76
  4. Step 4: Simplify right side
    19,678.68x = 578,960,876.28
  5. Step 5: Solve for x
    x = 578,960,876.28/19,678.68
  6. Step 6: Final answer
    x = 29,420.72

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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.