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Finding the Fourth Proportional to 27,909.88, 38,513.40 and 15,970.48

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Solution

The fourth proportional to 27,909.88, 38,513.40 and 15,970.48 is: 22,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909.88 : 38,513.40 = 15,970.48 : x
  2. Step 2: Convert to fraction form
    27,909.88/38,513.40 = 15,970.48/x
  3. Step 3: Cross multiply
    27,909.88x = 38,513.40 × 15,970.48
  4. Step 4: Simplify right side
    27,909.88x = 615,077,484.43
  5. Step 5: Solve for x
    x = 615,077,484.43/27,909.88
  6. Step 6: Final answer
    x = 22,037.98

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