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Finding the Fourth Proportional to 17,069.19, 23,555.58 and 9,516

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Solution

The fourth proportional to 17,069.19, 23,555.58 and 9,516 is: 13,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,069.19 : 23,555.58 = 9,516 : x
  2. Step 2: Convert to fraction form
    17,069.19/23,555.58 = 9,516/x
  3. Step 3: Cross multiply
    17,069.19x = 23,555.58 × 9,516
  4. Step 4: Simplify right side
    17,069.19x = 224,154,899.28
  5. Step 5: Solve for x
    x = 224,154,899.28/17,069.19
  6. Step 6: Final answer
    x = 13,132.13

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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.