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Finding the Fourth Proportional to 23,468.02, 35,202 and 9,428.05

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Solution

The fourth proportional to 23,468.02, 35,202 and 9,428.05 is: 14,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.02 : 35,202 = 9,428.05 : x
  2. Step 2: Convert to fraction form
    23,468.02/35,202 = 9,428.05/x
  3. Step 3: Cross multiply
    23,468.02x = 35,202 × 9,428.05
  4. Step 4: Simplify right side
    23,468.02x = 331,886,216.10
  5. Step 5: Solve for x
    x = 331,886,216.10/23,468.02
  6. Step 6: Final answer
    x = 14,142.06

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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.