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Finding the Fourth Proportional to 21,051.70, 31,547.39 and 15,461.14

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Solution

The fourth proportional to 21,051.70, 31,547.39 and 15,461.14 is: 23,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.70 : 31,547.39 = 15,461.14 : x
  2. Step 2: Convert to fraction form
    21,051.70/31,547.39 = 15,461.14/x
  3. Step 3: Cross multiply
    21,051.70x = 31,547.39 × 15,461.14
  4. Step 4: Simplify right side
    21,051.70x = 487,758,613.42
  5. Step 5: Solve for x
    x = 487,758,613.42/21,051.70
  6. Step 6: Final answer
    x = 23,169.56

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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.