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Finding the Fourth Proportional to 15,618.69, 23,437.22 and 5,758.74

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Solution

The fourth proportional to 15,618.69, 23,437.22 and 5,758.74 is: 8,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,618.69 : 23,437.22 = 5,758.74 : x
  2. Step 2: Convert to fraction form
    15,618.69/23,437.22 = 5,758.74/x
  3. Step 3: Cross multiply
    15,618.69x = 23,437.22 × 5,758.74
  4. Step 4: Simplify right side
    15,618.69x = 134,968,827.51
  5. Step 5: Solve for x
    x = 134,968,827.51/15,618.69
  6. Step 6: Final answer
    x = 8,641.49

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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.