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Finding the Fourth Proportional to 15,714.78, 21,686.48 and 8,641.66

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Solution

The fourth proportional to 15,714.78, 21,686.48 and 8,641.66 is: 11,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.78 : 21,686.48 = 8,641.66 : x
  2. Step 2: Convert to fraction form
    15,714.78/21,686.48 = 8,641.66/x
  3. Step 3: Cross multiply
    15,714.78x = 21,686.48 × 8,641.66
  4. Step 4: Simplify right side
    15,714.78x = 187,407,186.76
  5. Step 5: Solve for x
    x = 187,407,186.76/15,714.78
  6. Step 6: Final answer
    x = 11,925.54

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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.