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Finding the Fourth Proportional to 12,899.46, 17,802.75 and 7,235.76

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Solution

The fourth proportional to 12,899.46, 17,802.75 and 7,235.76 is: 9,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899.46 : 17,802.75 = 7,235.76 : x
  2. Step 2: Convert to fraction form
    12,899.46/17,802.75 = 7,235.76/x
  3. Step 3: Cross multiply
    12,899.46x = 17,802.75 × 7,235.76
  4. Step 4: Simplify right side
    12,899.46x = 128,816,426.34
  5. Step 5: Solve for x
    x = 128,816,426.34/12,899.46
  6. Step 6: Final answer
    x = 9,986.19

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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.