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Finding the Fourth Proportional to 21,094.34, 31,657.08 and 10,001.06

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Solution

The fourth proportional to 21,094.34, 31,657.08 and 10,001.06 is: 15,008.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,094.34 : 31,657.08 = 10,001.06 : x
  2. Step 2: Convert to fraction form
    21,094.34/31,657.08 = 10,001.06/x
  3. Step 3: Cross multiply
    21,094.34x = 31,657.08 × 10,001.06
  4. Step 4: Simplify right side
    21,094.34x = 316,604,253.66
  5. Step 5: Solve for x
    x = 316,604,253.66/21,094.34
  6. Step 6: Final answer
    x = 15,008.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.