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Finding the Fourth Proportional to 13,033.20, 17,985.72 and 7,064.88

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Solution

The fourth proportional to 13,033.20, 17,985.72 and 7,064.88 is: 9,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.20 : 17,985.72 = 7,064.88 : x
  2. Step 2: Convert to fraction form
    13,033.20/17,985.72 = 7,064.88/x
  3. Step 3: Cross multiply
    13,033.20x = 17,985.72 × 7,064.88
  4. Step 4: Simplify right side
    13,033.20x = 127,066,953.51
  5. Step 5: Solve for x
    x = 127,066,953.51/13,033.20
  6. Step 6: Final answer
    x = 9,749.48

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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.