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Finding the Fourth Proportional to 25,711.77, 38,570.73 and 9,068.40

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Solution

The fourth proportional to 25,711.77, 38,570.73 and 9,068.40 is: 13,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,711.77 : 38,570.73 = 9,068.40 : x
  2. Step 2: Convert to fraction form
    25,711.77/38,570.73 = 9,068.40/x
  3. Step 3: Cross multiply
    25,711.77x = 38,570.73 × 9,068.40
  4. Step 4: Simplify right side
    25,711.77x = 349,774,807.93
  5. Step 5: Solve for x
    x = 349,774,807.93/25,711.77
  6. Step 6: Final answer
    x = 13,603.68

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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.