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Finding the Fourth Proportional to 29,258.40, 40,373.28 and 17,931

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Solution

The fourth proportional to 29,258.40, 40,373.28 and 17,931 is: 24,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,258.40 : 40,373.28 = 17,931 : x
  2. Step 2: Convert to fraction form
    29,258.40/40,373.28 = 17,931/x
  3. Step 3: Cross multiply
    29,258.40x = 40,373.28 × 17,931
  4. Step 4: Simplify right side
    29,258.40x = 723,933,283.68
  5. Step 5: Solve for x
    x = 723,933,283.68/29,258.40
  6. Step 6: Final answer
    x = 24,742.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.