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Finding the Fourth Proportional to 27,714.47, 38,245.95 and 14,967.65

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Solution

The fourth proportional to 27,714.47, 38,245.95 and 14,967.65 is: 20,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.47 : 38,245.95 = 14,967.65 : x
  2. Step 2: Convert to fraction form
    27,714.47/38,245.95 = 14,967.65/x
  3. Step 3: Cross multiply
    27,714.47x = 38,245.95 × 14,967.65
  4. Step 4: Simplify right side
    27,714.47x = 572,452,152.28
  5. Step 5: Solve for x
    x = 572,452,152.28/27,714.47
  6. Step 6: Final answer
    x = 20,655.35

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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.