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Finding the Fourth Proportional to 17,806.94, 24,574.25 and 9,848.99

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Solution

The fourth proportional to 17,806.94, 24,574.25 and 9,848.99 is: 13,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.94 : 24,574.25 = 9,848.99 : x
  2. Step 2: Convert to fraction form
    17,806.94/24,574.25 = 9,848.99/x
  3. Step 3: Cross multiply
    17,806.94x = 24,574.25 × 9,848.99
  4. Step 4: Simplify right side
    17,806.94x = 242,031,628.57
  5. Step 5: Solve for x
    x = 242,031,628.57/17,806.94
  6. Step 6: Final answer
    x = 13,591.98

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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.