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Finding the Fourth Proportional to 12,348.63, 17,042.76 and 7,312.46

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Solution

The fourth proportional to 12,348.63, 17,042.76 and 7,312.46 is: 10,092.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.63 : 17,042.76 = 7,312.46 : x
  2. Step 2: Convert to fraction form
    12,348.63/17,042.76 = 7,312.46/x
  3. Step 3: Cross multiply
    12,348.63x = 17,042.76 × 7,312.46
  4. Step 4: Simplify right side
    12,348.63x = 124,624,415.58
  5. Step 5: Solve for x
    x = 124,624,415.58/12,348.63
  6. Step 6: Final answer
    x = 10,092.17

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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.