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Finding the Fourth Proportional to 25,699.50, 38,552.31 and 9,056.07

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Solution

The fourth proportional to 25,699.50, 38,552.31 and 9,056.07 is: 13,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,699.50 : 38,552.31 = 9,056.07 : x
  2. Step 2: Convert to fraction form
    25,699.50/38,552.31 = 9,056.07/x
  3. Step 3: Cross multiply
    25,699.50x = 38,552.31 × 9,056.07
  4. Step 4: Simplify right side
    25,699.50x = 349,132,418.02
  5. Step 5: Solve for x
    x = 349,132,418.02/25,699.50
  6. Step 6: Final answer
    x = 13,585.18

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Why These Related Problems?

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