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Finding the Fourth Proportional to 24,298.60, 36,462.30 and 16,002.40

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Solution

The fourth proportional to 24,298.60, 36,462.30 and 16,002.40 is: 24,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.60 : 36,462.30 = 16,002.40 : x
  2. Step 2: Convert to fraction form
    24,298.60/36,462.30 = 16,002.40/x
  3. Step 3: Cross multiply
    24,298.60x = 36,462.30 × 16,002.40
  4. Step 4: Simplify right side
    24,298.60x = 583,484,309.52
  5. Step 5: Solve for x
    x = 583,484,309.52/24,298.60
  6. Step 6: Final answer
    x = 24,013.08

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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.