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Finding the Fourth Proportional to 14,417.88, 21,616.05 and 9,724.71

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Solution

The fourth proportional to 14,417.88, 21,616.05 and 9,724.71 is: 14,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.88 : 21,616.05 = 9,724.71 : x
  2. Step 2: Convert to fraction form
    14,417.88/21,616.05 = 9,724.71/x
  3. Step 3: Cross multiply
    14,417.88x = 21,616.05 × 9,724.71
  4. Step 4: Simplify right side
    14,417.88x = 210,209,817.60
  5. Step 5: Solve for x
    x = 210,209,817.60/14,417.88
  6. Step 6: Final answer
    x = 14,579.80

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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.