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Finding the Fourth Proportional to 19,232.64, 26,541 and 10,849.08

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Solution

The fourth proportional to 19,232.64, 26,541 and 10,849.08 is: 14,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,232.64 : 26,541 = 10,849.08 : x
  2. Step 2: Convert to fraction form
    19,232.64/26,541 = 10,849.08/x
  3. Step 3: Cross multiply
    19,232.64x = 26,541 × 10,849.08
  4. Step 4: Simplify right side
    19,232.64x = 287,945,432.28
  5. Step 5: Solve for x
    x = 287,945,432.28/19,232.64
  6. Step 6: Final answer
    x = 14,971.71

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1.5x scale

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.