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Finding the Fourth Proportional to 14,146.19, 19,522.05 and 7,772.86

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Solution

The fourth proportional to 14,146.19, 19,522.05 and 7,772.86 is: 10,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.19 : 19,522.05 = 7,772.86 : x
  2. Step 2: Convert to fraction form
    14,146.19/19,522.05 = 7,772.86/x
  3. Step 3: Cross multiply
    14,146.19x = 19,522.05 × 7,772.86
  4. Step 4: Simplify right side
    14,146.19x = 151,742,122.70
  5. Step 5: Solve for x
    x = 151,742,122.70/14,146.19
  6. Step 6: Final answer
    x = 10,726.71

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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.