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Finding the Fourth Proportional to 14,965.86, 22,462.64 and 7,575.51

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Solution

The fourth proportional to 14,965.86, 22,462.64 and 7,575.51 is: 11,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.86 : 22,462.64 = 7,575.51 : x
  2. Step 2: Convert to fraction form
    14,965.86/22,462.64 = 7,575.51/x
  3. Step 3: Cross multiply
    14,965.86x = 22,462.64 × 7,575.51
  4. Step 4: Simplify right side
    14,965.86x = 170,165,916.07
  5. Step 5: Solve for x
    x = 170,165,916.07/14,965.86
  6. Step 6: Final answer
    x = 11,370.27

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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.