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Finding the Fourth Proportional to 12,802.40, 17,663.63 and 8,332.73

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Solution

The fourth proportional to 12,802.40, 17,663.63 and 8,332.73 is: 11,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.40 : 17,663.63 = 8,332.73 : x
  2. Step 2: Convert to fraction form
    12,802.40/17,663.63 = 8,332.73/x
  3. Step 3: Cross multiply
    12,802.40x = 17,663.63 × 8,332.73
  4. Step 4: Simplify right side
    12,802.40x = 147,186,129.63
  5. Step 5: Solve for x
    x = 147,186,129.63/12,802.40
  6. Step 6: Final answer
    x = 11,496.77

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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.