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Finding the Fourth Proportional to 14,564.16, 21,842.22 and 4,031.67

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Solution

The fourth proportional to 14,564.16, 21,842.22 and 4,031.67 is: 6,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.16 : 21,842.22 = 4,031.67 : x
  2. Step 2: Convert to fraction form
    14,564.16/21,842.22 = 4,031.67/x
  3. Step 3: Cross multiply
    14,564.16x = 21,842.22 × 4,031.67
  4. Step 4: Simplify right side
    14,564.16x = 88,060,623.11
  5. Step 5: Solve for x
    x = 88,060,623.11/14,564.16
  6. Step 6: Final answer
    x = 6,046.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.