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Finding the Fourth Proportional to 22,502.63, 31,053.63 and 12,566.63

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Solution

The fourth proportional to 22,502.63, 31,053.63 and 12,566.63 is: 17,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.63 : 31,053.63 = 12,566.63 : x
  2. Step 2: Convert to fraction form
    22,502.63/31,053.63 = 12,566.63/x
  3. Step 3: Cross multiply
    22,502.63x = 31,053.63 × 12,566.63
  4. Step 4: Simplify right side
    22,502.63x = 390,239,323.10
  5. Step 5: Solve for x
    x = 390,239,323.10/22,502.63
  6. Step 6: Final answer
    x = 17,341.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.