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Finding the Fourth Proportional to 21,111.67, 31,667.51 and 9,098.90

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Solution

The fourth proportional to 21,111.67, 31,667.51 and 9,098.90 is: 13,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,111.67 : 31,667.51 = 9,098.90 : x
  2. Step 2: Convert to fraction form
    21,111.67/31,667.51 = 9,098.90/x
  3. Step 3: Cross multiply
    21,111.67x = 31,667.51 × 9,098.90
  4. Step 4: Simplify right side
    21,111.67x = 288,139,506.74
  5. Step 5: Solve for x
    x = 288,139,506.74/21,111.67
  6. Step 6: Final answer
    x = 13,648.35

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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.