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Finding the Fourth Proportional to 13,024, 17,975.55 and 7,435

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Solution

The fourth proportional to 13,024, 17,975.55 and 7,435 is: 10,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024 : 17,975.55 = 7,435 : x
  2. Step 2: Convert to fraction form
    13,024/17,975.55 = 7,435/x
  3. Step 3: Cross multiply
    13,024x = 17,975.55 × 7,435
  4. Step 4: Simplify right side
    13,024x = 133,648,214.25
  5. Step 5: Solve for x
    x = 133,648,214.25/13,024
  6. Step 6: Final answer
    x = 10,261.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.