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Finding the Fourth Proportional to 25,415.80, 38,123.70 and 7,887.40

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Solution

The fourth proportional to 25,415.80, 38,123.70 and 7,887.40 is: 11,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,415.80 : 38,123.70 = 7,887.40 : x
  2. Step 2: Convert to fraction form
    25,415.80/38,123.70 = 7,887.40/x
  3. Step 3: Cross multiply
    25,415.80x = 38,123.70 × 7,887.40
  4. Step 4: Simplify right side
    25,415.80x = 300,696,871.38
  5. Step 5: Solve for x
    x = 300,696,871.38/25,415.80
  6. Step 6: Final answer
    x = 11,831.10

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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.