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Finding the Fourth Proportional to 19,781.16, 29,668.55 and 7,307.06

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Solution

The fourth proportional to 19,781.16, 29,668.55 and 7,307.06 is: 10,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.16 : 29,668.55 = 7,307.06 : x
  2. Step 2: Convert to fraction form
    19,781.16/29,668.55 = 7,307.06/x
  3. Step 3: Cross multiply
    19,781.16x = 29,668.55 × 7,307.06
  4. Step 4: Simplify right side
    19,781.16x = 216,789,838.43
  5. Step 5: Solve for x
    x = 216,789,838.43/19,781.16
  6. Step 6: Final answer
    x = 10,959.41

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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.