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Finding the Fourth Proportional to 29,584.16, 44,376.64 and 9,862.72

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Solution

The fourth proportional to 29,584.16, 44,376.64 and 9,862.72 is: 14,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,584.16 : 44,376.64 = 9,862.72 : x
  2. Step 2: Convert to fraction form
    29,584.16/44,376.64 = 9,862.72/x
  3. Step 3: Cross multiply
    29,584.16x = 44,376.64 × 9,862.72
  4. Step 4: Simplify right side
    29,584.16x = 437,674,374.86
  5. Step 5: Solve for x
    x = 437,674,374.86/29,584.16
  6. Step 6: Final answer
    x = 14,794.21

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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.