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Finding the Fourth Proportional to 23,374.08, 35,074.08 and 9,522

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Solution

The fourth proportional to 23,374.08, 35,074.08 and 9,522 is: 14,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,374.08 : 35,074.08 = 9,522 : x
  2. Step 2: Convert to fraction form
    23,374.08/35,074.08 = 9,522/x
  3. Step 3: Cross multiply
    23,374.08x = 35,074.08 × 9,522
  4. Step 4: Simplify right side
    23,374.08x = 333,975,389.76
  5. Step 5: Solve for x
    x = 333,975,389.76/23,374.08
  6. Step 6: Final answer
    x = 14,288.28

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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.