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Finding the Fourth Proportional to 19,236.96, 26,547.48 and 10,854

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Solution

The fourth proportional to 19,236.96, 26,547.48 and 10,854 is: 14,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,236.96 : 26,547.48 = 10,854 : x
  2. Step 2: Convert to fraction form
    19,236.96/26,547.48 = 10,854/x
  3. Step 3: Cross multiply
    19,236.96x = 26,547.48 × 10,854
  4. Step 4: Simplify right side
    19,236.96x = 288,146,347.92
  5. Step 5: Solve for x
    x = 288,146,347.92/19,236.96
  6. Step 6: Final answer
    x = 14,978.79

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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.