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Finding the Fourth Proportional to 12,838.17, 19,267.28 and 6,597.93

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Solution

The fourth proportional to 12,838.17, 19,267.28 and 6,597.93 is: 9,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.17 : 19,267.28 = 6,597.93 : x
  2. Step 2: Convert to fraction form
    12,838.17/19,267.28 = 6,597.93/x
  3. Step 3: Cross multiply
    12,838.17x = 19,267.28 × 6,597.93
  4. Step 4: Simplify right side
    12,838.17x = 127,124,164.73
  5. Step 5: Solve for x
    x = 127,124,164.73/12,838.17
  6. Step 6: Final answer
    x = 9,902.05

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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.