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Finding the Fourth Proportional to 12,653.77, 17,463.75 and 7,348.59

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Solution

The fourth proportional to 12,653.77, 17,463.75 and 7,348.59 is: 10,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.77 : 17,463.75 = 7,348.59 : x
  2. Step 2: Convert to fraction form
    12,653.77/17,463.75 = 7,348.59/x
  3. Step 3: Cross multiply
    12,653.77x = 17,463.75 × 7,348.59
  4. Step 4: Simplify right side
    12,653.77x = 128,333,938.61
  5. Step 5: Solve for x
    x = 128,333,938.61/12,653.77
  6. Step 6: Final answer
    x = 10,141.95

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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.