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Finding the Fourth Proportional to 19,237.50, 26,547.75 and 10,854

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Solution

The fourth proportional to 19,237.50, 26,547.75 and 10,854 is: 14,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,237.50 : 26,547.75 = 10,854 : x
  2. Step 2: Convert to fraction form
    19,237.50/26,547.75 = 10,854/x
  3. Step 3: Cross multiply
    19,237.50x = 26,547.75 × 10,854
  4. Step 4: Simplify right side
    19,237.50x = 288,149,278.50
  5. Step 5: Solve for x
    x = 288,149,278.50/19,237.50
  6. Step 6: Final answer
    x = 14,978.52

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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.