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Finding the Fourth Proportional to 14,549.40, 21,827.20 and 8,312.40

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Solution

The fourth proportional to 14,549.40, 21,827.20 and 8,312.40 is: 12,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.40 : 21,827.20 = 8,312.40 : x
  2. Step 2: Convert to fraction form
    14,549.40/21,827.20 = 8,312.40/x
  3. Step 3: Cross multiply
    14,549.40x = 21,827.20 × 8,312.40
  4. Step 4: Simplify right side
    14,549.40x = 181,436,417.28
  5. Step 5: Solve for x
    x = 181,436,417.28/14,549.40
  6. Step 6: Final answer
    x = 12,470.37

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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.