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Finding the Fourth Proportional to 13,133.24, 19,668.52 and 7,275.32

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Solution

The fourth proportional to 13,133.24, 19,668.52 and 7,275.32 is: 10,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.24 : 19,668.52 = 7,275.32 : x
  2. Step 2: Convert to fraction form
    13,133.24/19,668.52 = 7,275.32/x
  3. Step 3: Cross multiply
    13,133.24x = 19,668.52 × 7,275.32
  4. Step 4: Simplify right side
    13,133.24x = 143,094,776.93
  5. Step 5: Solve for x
    x = 143,094,776.93/13,133.24
  6. Step 6: Final answer
    x = 10,895.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.