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Finding the Fourth Proportional to 24,244.50, 33,457.82 and 15,861

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Solution

The fourth proportional to 24,244.50, 33,457.82 and 15,861 is: 21,888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,244.50 : 33,457.82 = 15,861 : x
  2. Step 2: Convert to fraction form
    24,244.50/33,457.82 = 15,861/x
  3. Step 3: Cross multiply
    24,244.50x = 33,457.82 × 15,861
  4. Step 4: Simplify right side
    24,244.50x = 530,674,483.02
  5. Step 5: Solve for x
    x = 530,674,483.02/24,244.50
  6. Step 6: Final answer
    x = 21,888.45

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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.