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Finding the Fourth Proportional to 38,459.40, 57,714.90 and 13,499.40

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Solution

The fourth proportional to 38,459.40, 57,714.90 and 13,499.40 is: 20,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,459.40 : 57,714.90 = 13,499.40 : x
  2. Step 2: Convert to fraction form
    38,459.40/57,714.90 = 13,499.40/x
  3. Step 3: Cross multiply
    38,459.40x = 57,714.90 × 13,499.40
  4. Step 4: Simplify right side
    38,459.40x = 779,116,521.06
  5. Step 5: Solve for x
    x = 779,116,521.06/38,459.40
  6. Step 6: Final answer
    x = 20,258.16

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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.