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Finding the Fourth Proportional to 29,688.52, 44,532.80 and 13,261

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Solution

The fourth proportional to 29,688.52, 44,532.80 and 13,261 is: 19,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688.52 : 44,532.80 = 13,261 : x
  2. Step 2: Convert to fraction form
    29,688.52/44,532.80 = 13,261/x
  3. Step 3: Cross multiply
    29,688.52x = 44,532.80 × 13,261
  4. Step 4: Simplify right side
    29,688.52x = 590,549,460.80
  5. Step 5: Solve for x
    x = 590,549,460.80/29,688.52
  6. Step 6: Final answer
    x = 19,891.51

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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.