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Finding the Fourth Proportional to 21,703.68, 29,937.60 and 15,742.08

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Solution

The fourth proportional to 21,703.68, 29,937.60 and 15,742.08 is: 21,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.68 : 29,937.60 = 15,742.08 : x
  2. Step 2: Convert to fraction form
    21,703.68/29,937.60 = 15,742.08/x
  3. Step 3: Cross multiply
    21,703.68x = 29,937.60 × 15,742.08
  4. Step 4: Simplify right side
    21,703.68x = 471,280,094.21
  5. Step 5: Solve for x
    x = 471,280,094.21/21,703.68
  6. Step 6: Final answer
    x = 21,714.29

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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.