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Finding the Fourth Proportional to 17,806.35, 24,574.03 and 9,848.40

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Solution

The fourth proportional to 17,806.35, 24,574.03 and 9,848.40 is: 13,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.35 : 24,574.03 = 9,848.40 : x
  2. Step 2: Convert to fraction form
    17,806.35/24,574.03 = 9,848.40/x
  3. Step 3: Cross multiply
    17,806.35x = 24,574.03 × 9,848.40
  4. Step 4: Simplify right side
    17,806.35x = 242,014,852.43
  5. Step 5: Solve for x
    x = 242,014,852.43/17,806.35
  6. Step 6: Final answer
    x = 13,591.49

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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.