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Finding the Fourth Proportional to 25,830.40, 38,708.70 and 14,713.60

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Solution

The fourth proportional to 25,830.40, 38,708.70 and 14,713.60 is: 22,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.40 : 38,708.70 = 14,713.60 : x
  2. Step 2: Convert to fraction form
    25,830.40/38,708.70 = 14,713.60/x
  3. Step 3: Cross multiply
    25,830.40x = 38,708.70 × 14,713.60
  4. Step 4: Simplify right side
    25,830.40x = 569,544,328.32
  5. Step 5: Solve for x
    x = 569,544,328.32/25,830.40
  6. Step 6: Final answer
    x = 22,049.38

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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.