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Finding the Fourth Proportional to 14,692.30, 20,278.56 and 9,030.01

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Solution

The fourth proportional to 14,692.30, 20,278.56 and 9,030.01 is: 12,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.30 : 20,278.56 = 9,030.01 : x
  2. Step 2: Convert to fraction form
    14,692.30/20,278.56 = 9,030.01/x
  3. Step 3: Cross multiply
    14,692.30x = 20,278.56 × 9,030.01
  4. Step 4: Simplify right side
    14,692.30x = 183,115,599.59
  5. Step 5: Solve for x
    x = 183,115,599.59/14,692.30
  6. Step 6: Final answer
    x = 12,463.38

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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.