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Finding the Fourth Proportional to 14,164.64, 19,545.96 and 7,877.36

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Solution

The fourth proportional to 14,164.64, 19,545.96 and 7,877.36 is: 10,870.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.64 : 19,545.96 = 7,877.36 : x
  2. Step 2: Convert to fraction form
    14,164.64/19,545.96 = 7,877.36/x
  3. Step 3: Cross multiply
    14,164.64x = 19,545.96 × 7,877.36
  4. Step 4: Simplify right side
    14,164.64x = 153,970,563.47
  5. Step 5: Solve for x
    x = 153,970,563.47/14,164.64
  6. Step 6: Final answer
    x = 10,870.07

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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.