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Finding the Fourth Proportional to 34,686.56, 52,038.05 and 11,313

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Solution

The fourth proportional to 34,686.56, 52,038.05 and 11,313 is: 16,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,686.56 : 52,038.05 = 11,313 : x
  2. Step 2: Convert to fraction form
    34,686.56/52,038.05 = 11,313/x
  3. Step 3: Cross multiply
    34,686.56x = 52,038.05 × 11,313
  4. Step 4: Simplify right side
    34,686.56x = 588,706,403.09
  5. Step 5: Solve for x
    x = 588,706,403.09/34,686.56
  6. Step 6: Final answer
    x = 16,972.17

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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.