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Finding the Fourth Proportional to 15,069, 22,613.71 and 6,185.93

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Solution

The fourth proportional to 15,069, 22,613.71 and 6,185.93 is: 9,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,069 : 22,613.71 = 6,185.93 : x
  2. Step 2: Convert to fraction form
    15,069/22,613.71 = 6,185.93/x
  3. Step 3: Cross multiply
    15,069x = 22,613.71 × 6,185.93
  4. Step 4: Simplify right side
    15,069x = 139,886,827.10
  5. Step 5: Solve for x
    x = 139,886,827.10/15,069
  6. Step 6: Final answer
    x = 9,283.09

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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.