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Finding the Fourth Proportional to 14,907.32, 20,564.52 and 11,364.38

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Solution

The fourth proportional to 14,907.32, 20,564.52 and 11,364.38 is: 15,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,907.32 : 20,564.52 = 11,364.38 : x
  2. Step 2: Convert to fraction form
    14,907.32/20,564.52 = 11,364.38/x
  3. Step 3: Cross multiply
    14,907.32x = 20,564.52 × 11,364.38
  4. Step 4: Simplify right side
    14,907.32x = 233,703,019.80
  5. Step 5: Solve for x
    x = 233,703,019.80/14,907.32
  6. Step 6: Final answer
    x = 15,677.06

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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.