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Finding the Fourth Proportional to 14,235.83, 19,645.46 and 7,948.20

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Solution

The fourth proportional to 14,235.83, 19,645.46 and 7,948.20 is: 10,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.83 : 19,645.46 = 7,948.20 : x
  2. Step 2: Convert to fraction form
    14,235.83/19,645.46 = 7,948.20/x
  3. Step 3: Cross multiply
    14,235.83x = 19,645.46 × 7,948.20
  4. Step 4: Simplify right side
    14,235.83x = 156,146,045.17
  5. Step 5: Solve for x
    x = 156,146,045.17/14,235.83
  6. Step 6: Final answer
    x = 10,968.52

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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.