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Finding the Fourth Proportional to 19,847.60, 29,774.04 and 10,488

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Solution

The fourth proportional to 19,847.60, 29,774.04 and 10,488 is: 15,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.60 : 29,774.04 = 10,488 : x
  2. Step 2: Convert to fraction form
    19,847.60/29,774.04 = 10,488/x
  3. Step 3: Cross multiply
    19,847.60x = 29,774.04 × 10,488
  4. Step 4: Simplify right side
    19,847.60x = 312,270,131.52
  5. Step 5: Solve for x
    x = 312,270,131.52/19,847.60
  6. Step 6: Final answer
    x = 15,733.40

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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.