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Finding the Fourth Proportional to 14,566.50, 21,849.81 and 5,332.50

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Solution

The fourth proportional to 14,566.50, 21,849.81 and 5,332.50 is: 7,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.50 : 21,849.81 = 5,332.50 : x
  2. Step 2: Convert to fraction form
    14,566.50/21,849.81 = 5,332.50/x
  3. Step 3: Cross multiply
    14,566.50x = 21,849.81 × 5,332.50
  4. Step 4: Simplify right side
    14,566.50x = 116,514,111.83
  5. Step 5: Solve for x
    x = 116,514,111.83/14,566.50
  6. Step 6: Final answer
    x = 7,998.77

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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.