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Finding the Fourth Proportional to 16,358, 24,537.24 and 4,046

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Solution

The fourth proportional to 16,358, 24,537.24 and 4,046 is: 6,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358 : 24,537.24 = 4,046 : x
  2. Step 2: Convert to fraction form
    16,358/24,537.24 = 4,046/x
  3. Step 3: Cross multiply
    16,358x = 24,537.24 × 4,046
  4. Step 4: Simplify right side
    16,358x = 99,277,673.04
  5. Step 5: Solve for x
    x = 99,277,673.04/16,358
  6. Step 6: Final answer
    x = 6,069.06

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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.