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Finding the Fourth Proportional to 22,038.25, 30,412.55 and 12,477.87

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Solution

The fourth proportional to 22,038.25, 30,412.55 and 12,477.87 is: 17,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.25 : 30,412.55 = 12,477.87 : x
  2. Step 2: Convert to fraction form
    22,038.25/30,412.55 = 12,477.87/x
  3. Step 3: Cross multiply
    22,038.25x = 30,412.55 × 12,477.87
  4. Step 4: Simplify right side
    22,038.25x = 379,483,944.45
  5. Step 5: Solve for x
    x = 379,483,944.45/22,038.25
  6. Step 6: Final answer
    x = 17,219.33

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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.