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Finding the Fourth Proportional to 38,598.30, 57,897.45 and 16,412.40

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Solution

The fourth proportional to 38,598.30, 57,897.45 and 16,412.40 is: 24,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,598.30 : 57,897.45 = 16,412.40 : x
  2. Step 2: Convert to fraction form
    38,598.30/57,897.45 = 16,412.40/x
  3. Step 3: Cross multiply
    38,598.30x = 57,897.45 × 16,412.40
  4. Step 4: Simplify right side
    38,598.30x = 950,236,108.38
  5. Step 5: Solve for x
    x = 950,236,108.38/38,598.30
  6. Step 6: Final answer
    x = 24,618.60

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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.