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Finding the Fourth Proportional to 13,537.69, 18,681.66 and 7,569.91

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Solution

The fourth proportional to 13,537.69, 18,681.66 and 7,569.91 is: 10,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.69 : 18,681.66 = 7,569.91 : x
  2. Step 2: Convert to fraction form
    13,537.69/18,681.66 = 7,569.91/x
  3. Step 3: Cross multiply
    13,537.69x = 18,681.66 × 7,569.91
  4. Step 4: Simplify right side
    13,537.69x = 141,418,484.85
  5. Step 5: Solve for x
    x = 141,418,484.85/13,537.69
  6. Step 6: Final answer
    x = 10,446.28

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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.