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Finding the Fourth Proportional to 25,711.90, 38,570.94 and 9,068.50

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Solution

The fourth proportional to 25,711.90, 38,570.94 and 9,068.50 is: 13,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,711.90 : 38,570.94 = 9,068.50 : x
  2. Step 2: Convert to fraction form
    25,711.90/38,570.94 = 9,068.50/x
  3. Step 3: Cross multiply
    25,711.90x = 38,570.94 × 9,068.50
  4. Step 4: Simplify right side
    25,711.90x = 349,780,569.39
  5. Step 5: Solve for x
    x = 349,780,569.39/25,711.90
  6. Step 6: Final answer
    x = 13,603.84

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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.