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Finding the Fourth Proportional to 22,603.69, 31,174.11 and 14,538.67

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Solution

The fourth proportional to 22,603.69, 31,174.11 and 14,538.67 is: 20,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,603.69 : 31,174.11 = 14,538.67 : x
  2. Step 2: Convert to fraction form
    22,603.69/31,174.11 = 14,538.67/x
  3. Step 3: Cross multiply
    22,603.69x = 31,174.11 × 14,538.67
  4. Step 4: Simplify right side
    22,603.69x = 453,230,097.83
  5. Step 5: Solve for x
    x = 453,230,097.83/22,603.69
  6. Step 6: Final answer
    x = 20,051.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.