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Finding the Fourth Proportional to 17,135.16, 23,639.76 and 10,758

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Solution

The fourth proportional to 17,135.16, 23,639.76 and 10,758 is: 14,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,135.16 : 23,639.76 = 10,758 : x
  2. Step 2: Convert to fraction form
    17,135.16/23,639.76 = 10,758/x
  3. Step 3: Cross multiply
    17,135.16x = 23,639.76 × 10,758
  4. Step 4: Simplify right side
    17,135.16x = 254,316,538.08
  5. Step 5: Solve for x
    x = 254,316,538.08/17,135.16
  6. Step 6: Final answer
    x = 14,841.80

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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.