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Finding the Fourth Proportional to 17,083.85, 23,575.76 and 9,530.67

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Solution

The fourth proportional to 17,083.85, 23,575.76 and 9,530.67 is: 13,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.85 : 23,575.76 = 9,530.67 : x
  2. Step 2: Convert to fraction form
    17,083.85/23,575.76 = 9,530.67/x
  3. Step 3: Cross multiply
    17,083.85x = 23,575.76 × 9,530.67
  4. Step 4: Simplify right side
    17,083.85x = 224,692,740.91
  5. Step 5: Solve for x
    x = 224,692,740.91/17,083.85
  6. Step 6: Final answer
    x = 13,152.35

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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.