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Finding the Fourth Proportional to 25,884.66, 38,835.18 and 9,244.32

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Solution

The fourth proportional to 25,884.66, 38,835.18 and 9,244.32 is: 13,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884.66 : 38,835.18 = 9,244.32 : x
  2. Step 2: Convert to fraction form
    25,884.66/38,835.18 = 9,244.32/x
  3. Step 3: Cross multiply
    25,884.66x = 38,835.18 × 9,244.32
  4. Step 4: Simplify right side
    25,884.66x = 359,004,831.18
  5. Step 5: Solve for x
    x = 359,004,831.18/25,884.66
  6. Step 6: Final answer
    x = 13,869.40

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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.