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Finding the Fourth Proportional to 12,565.84, 17,340.06 and 7,260.34

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Solution

The fourth proportional to 12,565.84, 17,340.06 and 7,260.34 is: 10,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.84 : 17,340.06 = 7,260.34 : x
  2. Step 2: Convert to fraction form
    12,565.84/17,340.06 = 7,260.34/x
  3. Step 3: Cross multiply
    12,565.84x = 17,340.06 × 7,260.34
  4. Step 4: Simplify right side
    12,565.84x = 125,894,731.22
  5. Step 5: Solve for x
    x = 125,894,731.22/12,565.84
  6. Step 6: Final answer
    x = 10,018.81

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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.