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Finding the Fourth Proportional to 15,031.44, 22,549.32 and 4,644

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Solution

The fourth proportional to 15,031.44, 22,549.32 and 4,644 is: 6,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031.44 : 22,549.32 = 4,644 : x
  2. Step 2: Convert to fraction form
    15,031.44/22,549.32 = 4,644/x
  3. Step 3: Cross multiply
    15,031.44x = 22,549.32 × 4,644
  4. Step 4: Simplify right side
    15,031.44x = 104,719,042.08
  5. Step 5: Solve for x
    x = 104,719,042.08/15,031.44
  6. Step 6: Final answer
    x = 6,966.67

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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.