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Finding the Fourth Proportional to 15,038.65, 22,557.87 and 11,754.50

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Solution

The fourth proportional to 15,038.65, 22,557.87 and 11,754.50 is: 17,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,038.65 : 22,557.87 = 11,754.50 : x
  2. Step 2: Convert to fraction form
    15,038.65/22,557.87 = 11,754.50/x
  3. Step 3: Cross multiply
    15,038.65x = 22,557.87 × 11,754.50
  4. Step 4: Simplify right side
    15,038.65x = 265,156,424.14
  5. Step 5: Solve for x
    x = 265,156,424.14/15,038.65
  6. Step 6: Final answer
    x = 17,631.67

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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.