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Finding the Fourth Proportional to 12,293.14, 16,965.75 and 7,259.02

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Solution

The fourth proportional to 12,293.14, 16,965.75 and 7,259.02 is: 10,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.14 : 16,965.75 = 7,259.02 : x
  2. Step 2: Convert to fraction form
    12,293.14/16,965.75 = 7,259.02/x
  3. Step 3: Cross multiply
    12,293.14x = 16,965.75 × 7,259.02
  4. Step 4: Simplify right side
    12,293.14x = 123,154,718.57
  5. Step 5: Solve for x
    x = 123,154,718.57/12,293.14
  6. Step 6: Final answer
    x = 10,018.17

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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.