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Finding the Fourth Proportional to 14,155.76, 19,535.64 and 7,868

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Solution

The fourth proportional to 14,155.76, 19,535.64 and 7,868 is: 10,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,155.76 : 19,535.64 = 7,868 : x
  2. Step 2: Convert to fraction form
    14,155.76/19,535.64 = 7,868/x
  3. Step 3: Cross multiply
    14,155.76x = 19,535.64 × 7,868
  4. Step 4: Simplify right side
    14,155.76x = 153,706,415.52
  5. Step 5: Solve for x
    x = 153,706,415.52/14,155.76
  6. Step 6: Final answer
    x = 10,858.22

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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.