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Finding the Fourth Proportional to 14,504.84, 20,005.27 and 9,723.14

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Solution

The fourth proportional to 14,504.84, 20,005.27 and 9,723.14 is: 13,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504.84 : 20,005.27 = 9,723.14 : x
  2. Step 2: Convert to fraction form
    14,504.84/20,005.27 = 9,723.14/x
  3. Step 3: Cross multiply
    14,504.84x = 20,005.27 × 9,723.14
  4. Step 4: Simplify right side
    14,504.84x = 194,513,916.61
  5. Step 5: Solve for x
    x = 194,513,916.61/14,504.84
  6. Step 6: Final answer
    x = 13,410.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.