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Finding the Fourth Proportional to 24,188.78, 33,381.78 and 14,117.06

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Solution

The fourth proportional to 24,188.78, 33,381.78 and 14,117.06 is: 19,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.78 : 33,381.78 = 14,117.06 : x
  2. Step 2: Convert to fraction form
    24,188.78/33,381.78 = 14,117.06/x
  3. Step 3: Cross multiply
    24,188.78x = 33,381.78 × 14,117.06
  4. Step 4: Simplify right side
    24,188.78x = 471,252,591.17
  5. Step 5: Solve for x
    x = 471,252,591.17/24,188.78
  6. Step 6: Final answer
    x = 19,482.28

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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.