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Finding the Fourth Proportional to 21,905.28, 32,854.84 and 7,114.40

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Solution

The fourth proportional to 21,905.28, 32,854.84 and 7,114.40 is: 10,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.28 : 32,854.84 = 7,114.40 : x
  2. Step 2: Convert to fraction form
    21,905.28/32,854.84 = 7,114.40/x
  3. Step 3: Cross multiply
    21,905.28x = 32,854.84 × 7,114.40
  4. Step 4: Simplify right side
    21,905.28x = 233,742,473.70
  5. Step 5: Solve for x
    x = 233,742,473.70/21,905.28
  6. Step 6: Final answer
    x = 10,670.60

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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.