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Finding the Fourth Proportional to 19,925.76, 29,883.84 and 5,882

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Solution

The fourth proportional to 19,925.76, 29,883.84 and 5,882 is: 8,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,925.76 : 29,883.84 = 5,882 : x
  2. Step 2: Convert to fraction form
    19,925.76/29,883.84 = 5,882/x
  3. Step 3: Cross multiply
    19,925.76x = 29,883.84 × 5,882
  4. Step 4: Simplify right side
    19,925.76x = 175,776,746.88
  5. Step 5: Solve for x
    x = 175,776,746.88/19,925.76
  6. Step 6: Final answer
    x = 8,821.58

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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.