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Finding the Fourth Proportional to 12,394.90, 17,106.15 and 7,088.68

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Solution

The fourth proportional to 12,394.90, 17,106.15 and 7,088.68 is: 9,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.90 : 17,106.15 = 7,088.68 : x
  2. Step 2: Convert to fraction form
    12,394.90/17,106.15 = 7,088.68/x
  3. Step 3: Cross multiply
    12,394.90x = 17,106.15 × 7,088.68
  4. Step 4: Simplify right side
    12,394.90x = 121,260,023.38
  5. Step 5: Solve for x
    x = 121,260,023.38/12,394.90
  6. Step 6: Final answer
    x = 9,783.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.