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Finding the Fourth Proportional to 24,600.64, 36,900 and 7,070.40

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Solution

The fourth proportional to 24,600.64, 36,900 and 7,070.40 is: 10,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,600.64 : 36,900 = 7,070.40 : x
  2. Step 2: Convert to fraction form
    24,600.64/36,900 = 7,070.40/x
  3. Step 3: Cross multiply
    24,600.64x = 36,900 × 7,070.40
  4. Step 4: Simplify right side
    24,600.64x = 260,897,760
  5. Step 5: Solve for x
    x = 260,897,760/24,600.64
  6. Step 6: Final answer
    x = 10,605.32

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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.