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Finding the Fourth Proportional to 24,047.60, 36,071.40 and 10,007.36

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Solution

The fourth proportional to 24,047.60, 36,071.40 and 10,007.36 is: 15,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.60 : 36,071.40 = 10,007.36 : x
  2. Step 2: Convert to fraction form
    24,047.60/36,071.40 = 10,007.36/x
  3. Step 3: Cross multiply
    24,047.60x = 36,071.40 × 10,007.36
  4. Step 4: Simplify right side
    24,047.60x = 360,979,485.50
  5. Step 5: Solve for x
    x = 360,979,485.50/24,047.60
  6. Step 6: Final answer
    x = 15,011.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.