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Finding the Fourth Proportional to 15,077.76, 22,604.40 and 13,022.16

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Solution

The fourth proportional to 15,077.76, 22,604.40 and 13,022.16 is: 19,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.76 : 22,604.40 = 13,022.16 : x
  2. Step 2: Convert to fraction form
    15,077.76/22,604.40 = 13,022.16/x
  3. Step 3: Cross multiply
    15,077.76x = 22,604.40 × 13,022.16
  4. Step 4: Simplify right side
    15,077.76x = 294,358,113.50
  5. Step 5: Solve for x
    x = 294,358,113.50/15,077.76
  6. Step 6: Final answer
    x = 19,522.67

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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.