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Finding the Fourth Proportional to 24,442.56, 36,663.05 and 7,803.61

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Solution

The fourth proportional to 24,442.56, 36,663.05 and 7,803.61 is: 11,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442.56 : 36,663.05 = 7,803.61 : x
  2. Step 2: Convert to fraction form
    24,442.56/36,663.05 = 7,803.61/x
  3. Step 3: Cross multiply
    24,442.56x = 36,663.05 × 7,803.61
  4. Step 4: Simplify right side
    24,442.56x = 286,104,071.46
  5. Step 5: Solve for x
    x = 286,104,071.46/24,442.56
  6. Step 6: Final answer
    x = 11,705.16

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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.