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Finding the Fourth Proportional to 21,700.17, 29,948.45 and 13,202.90

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Solution

The fourth proportional to 21,700.17, 29,948.45 and 13,202.90 is: 18,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700.17 : 29,948.45 = 13,202.90 : x
  2. Step 2: Convert to fraction form
    21,700.17/29,948.45 = 13,202.90/x
  3. Step 3: Cross multiply
    21,700.17x = 29,948.45 × 13,202.90
  4. Step 4: Simplify right side
    21,700.17x = 395,406,390.51
  5. Step 5: Solve for x
    x = 395,406,390.51/21,700.17
  6. Step 6: Final answer
    x = 18,221.35

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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.