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Finding the Fourth Proportional to 14,862.80, 22,308.06 and 7,848

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Solution

The fourth proportional to 14,862.80, 22,308.06 and 7,848 is: 11,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.80 : 22,308.06 = 7,848 : x
  2. Step 2: Convert to fraction form
    14,862.80/22,308.06 = 7,848/x
  3. Step 3: Cross multiply
    14,862.80x = 22,308.06 × 7,848
  4. Step 4: Simplify right side
    14,862.80x = 175,073,654.88
  5. Step 5: Solve for x
    x = 175,073,654.88/14,862.80
  6. Step 6: Final answer
    x = 11,779.32

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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.