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Finding the Fourth Proportional to 22,741.63, 34,117.16 and 9,594.11

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Solution

The fourth proportional to 22,741.63, 34,117.16 and 9,594.11 is: 14,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741.63 : 34,117.16 = 9,594.11 : x
  2. Step 2: Convert to fraction form
    22,741.63/34,117.16 = 9,594.11/x
  3. Step 3: Cross multiply
    22,741.63x = 34,117.16 × 9,594.11
  4. Step 4: Simplify right side
    22,741.63x = 327,323,823.25
  5. Step 5: Solve for x
    x = 327,323,823.25/22,741.63
  6. Step 6: Final answer
    x = 14,393.16

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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.