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Finding the Fourth Proportional to 15,567.88, 21,486.50 and 9,194.12

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Solution

The fourth proportional to 15,567.88, 21,486.50 and 9,194.12 is: 12,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,567.88 : 21,486.50 = 9,194.12 : x
  2. Step 2: Convert to fraction form
    15,567.88/21,486.50 = 9,194.12/x
  3. Step 3: Cross multiply
    15,567.88x = 21,486.50 × 9,194.12
  4. Step 4: Simplify right side
    15,567.88x = 197,549,459.38
  5. Step 5: Solve for x
    x = 197,549,459.38/15,567.88
  6. Step 6: Final answer
    x = 12,689.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.