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Finding the Fourth Proportional to 15,886.50, 23,814.25 and 7,564.29

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Solution

The fourth proportional to 15,886.50, 23,814.25 and 7,564.29 is: 11,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.50 : 23,814.25 = 7,564.29 : x
  2. Step 2: Convert to fraction form
    15,886.50/23,814.25 = 7,564.29/x
  3. Step 3: Cross multiply
    15,886.50x = 23,814.25 × 7,564.29
  4. Step 4: Simplify right side
    15,886.50x = 180,137,827.47
  5. Step 5: Solve for x
    x = 180,137,827.47/15,886.50
  6. Step 6: Final answer
    x = 11,339.05

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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.