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Finding the Fourth Proportional to 13,223.16, 19,835.82 and 5,432.04

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Solution

The fourth proportional to 13,223.16, 19,835.82 and 5,432.04 is: 8,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.16 : 19,835.82 = 5,432.04 : x
  2. Step 2: Convert to fraction form
    13,223.16/19,835.82 = 5,432.04/x
  3. Step 3: Cross multiply
    13,223.16x = 19,835.82 × 5,432.04
  4. Step 4: Simplify right side
    13,223.16x = 107,748,967.67
  5. Step 5: Solve for x
    x = 107,748,967.67/13,223.16
  6. Step 6: Final answer
    x = 8,148.50

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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.