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Finding the Fourth Proportional to 12,830.34, 19,230.92 and 5,430.18

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Solution

The fourth proportional to 12,830.34, 19,230.92 and 5,430.18 is: 8,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.34 : 19,230.92 = 5,430.18 : x
  2. Step 2: Convert to fraction form
    12,830.34/19,230.92 = 5,430.18/x
  3. Step 3: Cross multiply
    12,830.34x = 19,230.92 × 5,430.18
  4. Step 4: Simplify right side
    12,830.34x = 104,427,357.17
  5. Step 5: Solve for x
    x = 104,427,357.17/12,830.34
  6. Step 6: Final answer
    x = 8,139.10

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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.