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Finding the Fourth Proportional to 21,676.76, 32,510.24 and 12,914.16

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Solution

The fourth proportional to 21,676.76, 32,510.24 and 12,914.16 is: 19,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.76 : 32,510.24 = 12,914.16 : x
  2. Step 2: Convert to fraction form
    21,676.76/32,510.24 = 12,914.16/x
  3. Step 3: Cross multiply
    21,676.76x = 32,510.24 × 12,914.16
  4. Step 4: Simplify right side
    21,676.76x = 419,842,441.00
  5. Step 5: Solve for x
    x = 419,842,441.00/21,676.76
  6. Step 6: Final answer
    x = 19,368.32

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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.