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Finding the Fourth Proportional to 25,870.32, 38,768.40 and 14,754

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Solution

The fourth proportional to 25,870.32, 38,768.40 and 14,754 is: 22,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870.32 : 38,768.40 = 14,754 : x
  2. Step 2: Convert to fraction form
    25,870.32/38,768.40 = 14,754/x
  3. Step 3: Cross multiply
    25,870.32x = 38,768.40 × 14,754
  4. Step 4: Simplify right side
    25,870.32x = 571,988,973.60
  5. Step 5: Solve for x
    x = 571,988,973.60/25,870.32
  6. Step 6: Final answer
    x = 22,109.85

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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.