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Finding the Fourth Proportional to 24,564.76, 36,848.30 and 7,037.16

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Solution

The fourth proportional to 24,564.76, 36,848.30 and 7,037.16 is: 10,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.76 : 36,848.30 = 7,037.16 : x
  2. Step 2: Convert to fraction form
    24,564.76/36,848.30 = 7,037.16/x
  3. Step 3: Cross multiply
    24,564.76x = 36,848.30 × 7,037.16
  4. Step 4: Simplify right side
    24,564.76x = 259,307,382.83
  5. Step 5: Solve for x
    x = 259,307,382.83/24,564.76
  6. Step 6: Final answer
    x = 10,556.07

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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.