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Finding the Fourth Proportional to 27,124.94, 40,713.71 and 13,094.84

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Solution

The fourth proportional to 27,124.94, 40,713.71 and 13,094.84 is: 19,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,124.94 : 40,713.71 = 13,094.84 : x
  2. Step 2: Convert to fraction form
    27,124.94/40,713.71 = 13,094.84/x
  3. Step 3: Cross multiply
    27,124.94x = 40,713.71 × 13,094.84
  4. Step 4: Simplify right side
    27,124.94x = 533,139,518.26
  5. Step 5: Solve for x
    x = 533,139,518.26/27,124.94
  6. Step 6: Final answer
    x = 19,654.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.