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Finding the Fourth Proportional to 24,513.81, 33,802.01 and 16,947

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Solution

The fourth proportional to 24,513.81, 33,802.01 and 16,947 is: 23,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.81 : 33,802.01 = 16,947 : x
  2. Step 2: Convert to fraction form
    24,513.81/33,802.01 = 16,947/x
  3. Step 3: Cross multiply
    24,513.81x = 33,802.01 × 16,947
  4. Step 4: Simplify right side
    24,513.81x = 572,842,578.74
  5. Step 5: Solve for x
    x = 572,842,578.74/24,513.81
  6. Step 6: Final answer
    x = 23,368.16

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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.