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Finding the Fourth Proportional to 21,534.40, 32,290.80 and 9,834.40

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Solution

The fourth proportional to 21,534.40, 32,290.80 and 9,834.40 is: 14,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.40 : 32,290.80 = 9,834.40 : x
  2. Step 2: Convert to fraction form
    21,534.40/32,290.80 = 9,834.40/x
  3. Step 3: Cross multiply
    21,534.40x = 32,290.80 × 9,834.40
  4. Step 4: Simplify right side
    21,534.40x = 317,560,643.52
  5. Step 5: Solve for x
    x = 317,560,643.52/21,534.40
  6. Step 6: Final answer
    x = 14,746.67

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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.