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Finding the Fourth Proportional to 35,508.69, 53,264.66 and 13,314.69

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Solution

The fourth proportional to 35,508.69, 53,264.66 and 13,314.69 is: 19,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,508.69 : 53,264.66 = 13,314.69 : x
  2. Step 2: Convert to fraction form
    35,508.69/53,264.66 = 13,314.69/x
  3. Step 3: Cross multiply
    35,508.69x = 53,264.66 × 13,314.69
  4. Step 4: Simplify right side
    35,508.69x = 709,202,369.28
  5. Step 5: Solve for x
    x = 709,202,369.28/35,508.69
  6. Step 6: Final answer
    x = 19,972.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.