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Finding the Fourth Proportional to 24,913.28, 37,356.15 and 9,905.20

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Solution

The fourth proportional to 24,913.28, 37,356.15 and 9,905.20 is: 14,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,913.28 : 37,356.15 = 9,905.20 : x
  2. Step 2: Convert to fraction form
    24,913.28/37,356.15 = 9,905.20/x
  3. Step 3: Cross multiply
    24,913.28x = 37,356.15 × 9,905.20
  4. Step 4: Simplify right side
    24,913.28x = 370,020,043.59
  5. Step 5: Solve for x
    x = 370,020,043.59/24,913.28
  6. Step 6: Final answer
    x = 14,852.32

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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.