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Finding the Fourth Proportional to 13,033.33, 17,985.99 and 7,065

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Solution

The fourth proportional to 13,033.33, 17,985.99 and 7,065 is: 9,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.33 : 17,985.99 = 7,065 : x
  2. Step 2: Convert to fraction form
    13,033.33/17,985.99 = 7,065/x
  3. Step 3: Cross multiply
    13,033.33x = 17,985.99 × 7,065
  4. Step 4: Simplify right side
    13,033.33x = 127,071,019.35
  5. Step 5: Solve for x
    x = 127,071,019.35/13,033.33
  6. Step 6: Final answer
    x = 9,749.70

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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.