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Finding the Fourth Proportional to 21,411, 29,565.42 and 13,466.52

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Solution

The fourth proportional to 21,411, 29,565.42 and 13,466.52 is: 18,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411 : 29,565.42 = 13,466.52 : x
  2. Step 2: Convert to fraction form
    21,411/29,565.42 = 13,466.52/x
  3. Step 3: Cross multiply
    21,411x = 29,565.42 × 13,466.52
  4. Step 4: Simplify right side
    21,411x = 398,143,319.74
  5. Step 5: Solve for x
    x = 398,143,319.74/21,411
  6. Step 6: Final answer
    x = 18,595.27

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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.