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Finding the Fourth Proportional to 30,646.90, 42,290.13 and 17,217.10

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Solution

The fourth proportional to 30,646.90, 42,290.13 and 17,217.10 is: 23,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.90 : 42,290.13 = 17,217.10 : x
  2. Step 2: Convert to fraction form
    30,646.90/42,290.13 = 17,217.10/x
  3. Step 3: Cross multiply
    30,646.90x = 42,290.13 × 17,217.10
  4. Step 4: Simplify right side
    30,646.90x = 728,113,397.22
  5. Step 5: Solve for x
    x = 728,113,397.22/30,646.90
  6. Step 6: Final answer
    x = 23,758.14

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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.