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Finding the Fourth Proportional to 24,779.32, 37,159.24 and 9,985.48

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Solution

The fourth proportional to 24,779.32, 37,159.24 and 9,985.48 is: 14,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,779.32 : 37,159.24 = 9,985.48 : x
  2. Step 2: Convert to fraction form
    24,779.32/37,159.24 = 9,985.48/x
  3. Step 3: Cross multiply
    24,779.32x = 37,159.24 × 9,985.48
  4. Step 4: Simplify right side
    24,779.32x = 371,052,847.84
  5. Step 5: Solve for x
    x = 371,052,847.84/24,779.32
  6. Step 6: Final answer
    x = 14,974.30

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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.