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Finding the Fourth Proportional to 14,576.84, 21,830.38 and 8,402.12

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Solution

The fourth proportional to 14,576.84, 21,830.38 and 8,402.12 is: 12,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.84 : 21,830.38 = 8,402.12 : x
  2. Step 2: Convert to fraction form
    14,576.84/21,830.38 = 8,402.12/x
  3. Step 3: Cross multiply
    14,576.84x = 21,830.38 × 8,402.12
  4. Step 4: Simplify right side
    14,576.84x = 183,421,472.41
  5. Step 5: Solve for x
    x = 183,421,472.41/14,576.84
  6. Step 6: Final answer
    x = 12,583.08

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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.