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Finding the Fourth Proportional to 13,033.04, 17,985.61 and 7,064.71

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Solution

The fourth proportional to 13,033.04, 17,985.61 and 7,064.71 is: 9,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.04 : 17,985.61 = 7,064.71 : x
  2. Step 2: Convert to fraction form
    13,033.04/17,985.61 = 7,064.71/x
  3. Step 3: Cross multiply
    13,033.04x = 17,985.61 × 7,064.71
  4. Step 4: Simplify right side
    13,033.04x = 127,063,118.82
  5. Step 5: Solve for x
    x = 127,063,118.82/13,033.04
  6. Step 6: Final answer
    x = 9,749.31

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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.