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Finding the Fourth Proportional to 27,142.72, 37,459.74 and 15,658.08

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Solution

The fourth proportional to 27,142.72, 37,459.74 and 15,658.08 is: 21,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.72 : 37,459.74 = 15,658.08 : x
  2. Step 2: Convert to fraction form
    27,142.72/37,459.74 = 15,658.08/x
  3. Step 3: Cross multiply
    27,142.72x = 37,459.74 × 15,658.08
  4. Step 4: Simplify right side
    27,142.72x = 586,547,605.70
  5. Step 5: Solve for x
    x = 586,547,605.70/27,142.72
  6. Step 6: Final answer
    x = 21,609.76

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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.