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Finding the Fourth Proportional to 13,035.84, 17,988.66 and 7,657.48

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Solution

The fourth proportional to 13,035.84, 17,988.66 and 7,657.48 is: 10,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.84 : 17,988.66 = 7,657.48 : x
  2. Step 2: Convert to fraction form
    13,035.84/17,988.66 = 7,657.48/x
  3. Step 3: Cross multiply
    13,035.84x = 17,988.66 × 7,657.48
  4. Step 4: Simplify right side
    13,035.84x = 137,747,804.18
  5. Step 5: Solve for x
    x = 137,747,804.18/13,035.84
  6. Step 6: Final answer
    x = 10,566.85

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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.