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Finding the Fourth Proportional to 14,678.16, 20,258.28 and 9,959.28

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Solution

The fourth proportional to 14,678.16, 20,258.28 and 9,959.28 is: 13,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.16 : 20,258.28 = 9,959.28 : x
  2. Step 2: Convert to fraction form
    14,678.16/20,258.28 = 9,959.28/x
  3. Step 3: Cross multiply
    14,678.16x = 20,258.28 × 9,959.28
  4. Step 4: Simplify right side
    14,678.16x = 201,757,882.84
  5. Step 5: Solve for x
    x = 201,757,882.84/14,678.16
  6. Step 6: Final answer
    x = 13,745.45

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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.