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Finding the Fourth Proportional to 13,247.64, 19,948.47 and 9,574.92

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Solution

The fourth proportional to 13,247.64, 19,948.47 and 9,574.92 is: 14,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,247.64 : 19,948.47 = 9,574.92 : x
  2. Step 2: Convert to fraction form
    13,247.64/19,948.47 = 9,574.92/x
  3. Step 3: Cross multiply
    13,247.64x = 19,948.47 × 9,574.92
  4. Step 4: Simplify right side
    13,247.64x = 191,005,004.37
  5. Step 5: Solve for x
    x = 191,005,004.37/13,247.64
  6. Step 6: Final answer
    x = 14,418.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.