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Finding the Fourth Proportional to 13,035.84, 17,984.75 and 8,562

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Solution

The fourth proportional to 13,035.84, 17,984.75 and 8,562 is: 11,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.84 : 17,984.75 = 8,562 : x
  2. Step 2: Convert to fraction form
    13,035.84/17,984.75 = 8,562/x
  3. Step 3: Cross multiply
    13,035.84x = 17,984.75 × 8,562
  4. Step 4: Simplify right side
    13,035.84x = 153,985,386.69
  5. Step 5: Solve for x
    x = 153,985,386.69/13,035.84
  6. Step 6: Final answer
    x = 11,812.46

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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.