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Finding the Fourth Proportional to 19,762.50, 27,273 and 11,265.96

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Solution

The fourth proportional to 19,762.50, 27,273 and 11,265.96 is: 15,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.50 : 27,273 = 11,265.96 : x
  2. Step 2: Convert to fraction form
    19,762.50/27,273 = 11,265.96/x
  3. Step 3: Cross multiply
    19,762.50x = 27,273 × 11,265.96
  4. Step 4: Simplify right side
    19,762.50x = 307,256,527.08
  5. Step 5: Solve for x
    x = 307,256,527.08/19,762.50
  6. Step 6: Final answer
    x = 15,547.45

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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.