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Finding the Fourth Proportional to 11,506.04, 17,233.76 and 9,509.04

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Solution

The fourth proportional to 11,506.04, 17,233.76 and 9,509.04 is: 14,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.04 : 17,233.76 = 9,509.04 : x
  2. Step 2: Convert to fraction form
    11,506.04/17,233.76 = 9,509.04/x
  3. Step 3: Cross multiply
    11,506.04x = 17,233.76 × 9,509.04
  4. Step 4: Simplify right side
    11,506.04x = 163,876,427.02
  5. Step 5: Solve for x
    x = 163,876,427.02/11,506.04
  6. Step 6: Final answer
    x = 14,242.65

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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.