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Finding the Fourth Proportional to 12,386.16, 17,095.26 and 7,353.14

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Solution

The fourth proportional to 12,386.16, 17,095.26 and 7,353.14 is: 10,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.16 : 17,095.26 = 7,353.14 : x
  2. Step 2: Convert to fraction form
    12,386.16/17,095.26 = 7,353.14/x
  3. Step 3: Cross multiply
    12,386.16x = 17,095.26 × 7,353.14
  4. Step 4: Simplify right side
    12,386.16x = 125,703,840.12
  5. Step 5: Solve for x
    x = 125,703,840.12/12,386.16
  6. Step 6: Final answer
    x = 10,148.73

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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.