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Finding the Fourth Proportional to 19,876.32, 29,806.65 and 7,223.13

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Solution

The fourth proportional to 19,876.32, 29,806.65 and 7,223.13 is: 10,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.32 : 29,806.65 = 7,223.13 : x
  2. Step 2: Convert to fraction form
    19,876.32/29,806.65 = 7,223.13/x
  3. Step 3: Cross multiply
    19,876.32x = 29,806.65 × 7,223.13
  4. Step 4: Simplify right side
    19,876.32x = 215,297,307.81
  5. Step 5: Solve for x
    x = 215,297,307.81/19,876.32
  6. Step 6: Final answer
    x = 10,831.85

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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.