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Finding the Fourth Proportional to 17,065.43, 23,547.43 and 9,510.10

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Solution

The fourth proportional to 17,065.43, 23,547.43 and 9,510.10 is: 13,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.43 : 23,547.43 = 9,510.10 : x
  2. Step 2: Convert to fraction form
    17,065.43/23,547.43 = 9,510.10/x
  3. Step 3: Cross multiply
    17,065.43x = 23,547.43 × 9,510.10
  4. Step 4: Simplify right side
    17,065.43x = 223,938,331.40
  5. Step 5: Solve for x
    x = 223,938,331.40/17,065.43
  6. Step 6: Final answer
    x = 13,122.34

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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.