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Finding the Fourth Proportional to 14,325.24, 19,767.78 and 7,952.20

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Solution

The fourth proportional to 14,325.24, 19,767.78 and 7,952.20 is: 10,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,325.24 : 19,767.78 = 7,952.20 : x
  2. Step 2: Convert to fraction form
    14,325.24/19,767.78 = 7,952.20/x
  3. Step 3: Cross multiply
    14,325.24x = 19,767.78 × 7,952.20
  4. Step 4: Simplify right side
    14,325.24x = 157,197,340.12
  5. Step 5: Solve for x
    x = 157,197,340.12/14,325.24
  6. Step 6: Final answer
    x = 10,973.45

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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.