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Finding the Fourth Proportional to 19,513.91, 26,929.06 and 10,561.21

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Solution

The fourth proportional to 19,513.91, 26,929.06 and 10,561.21 is: 14,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.91 : 26,929.06 = 10,561.21 : x
  2. Step 2: Convert to fraction form
    19,513.91/26,929.06 = 10,561.21/x
  3. Step 3: Cross multiply
    19,513.91x = 26,929.06 × 10,561.21
  4. Step 4: Simplify right side
    19,513.91x = 284,403,364.04
  5. Step 5: Solve for x
    x = 284,403,364.04/19,513.91
  6. Step 6: Final answer
    x = 14,574.39

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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.