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Finding the Fourth Proportional to 19,499.89, 26,909.77 and 10,547.42

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Solution

The fourth proportional to 19,499.89, 26,909.77 and 10,547.42 is: 14,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,499.89 : 26,909.77 = 10,547.42 : x
  2. Step 2: Convert to fraction form
    19,499.89/26,909.77 = 10,547.42/x
  3. Step 3: Cross multiply
    19,499.89x = 26,909.77 × 10,547.42
  4. Step 4: Simplify right side
    19,499.89x = 283,828,505.15
  5. Step 5: Solve for x
    x = 283,828,505.15/19,499.89
  6. Step 6: Final answer
    x = 14,555.39

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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.