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Finding the Fourth Proportional to 16,523.64, 22,802.40 and 8,970

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Solution

The fourth proportional to 16,523.64, 22,802.40 and 8,970 is: 12,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.64 : 22,802.40 = 8,970 : x
  2. Step 2: Convert to fraction form
    16,523.64/22,802.40 = 8,970/x
  3. Step 3: Cross multiply
    16,523.64x = 22,802.40 × 8,970
  4. Step 4: Simplify right side
    16,523.64x = 204,537,528
  5. Step 5: Solve for x
    x = 204,537,528/16,523.64
  6. Step 6: Final answer
    x = 12,378.48

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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.