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Finding the Fourth Proportional to 12,959.49, 19,444.70 and 6,385.74

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Solution

The fourth proportional to 12,959.49, 19,444.70 and 6,385.74 is: 9,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.49 : 19,444.70 = 6,385.74 : x
  2. Step 2: Convert to fraction form
    12,959.49/19,444.70 = 6,385.74/x
  3. Step 3: Cross multiply
    12,959.49x = 19,444.70 × 6,385.74
  4. Step 4: Simplify right side
    12,959.49x = 124,168,798.58
  5. Step 5: Solve for x
    x = 124,168,798.58/12,959.49
  6. Step 6: Final answer
    x = 9,581.30

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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.