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Finding the Fourth Proportional to 14,736.95, 20,333.81 and 9,430.74

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Solution

The fourth proportional to 14,736.95, 20,333.81 and 9,430.74 is: 13,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,736.95 : 20,333.81 = 9,430.74 : x
  2. Step 2: Convert to fraction form
    14,736.95/20,333.81 = 9,430.74/x
  3. Step 3: Cross multiply
    14,736.95x = 20,333.81 × 9,430.74
  4. Step 4: Simplify right side
    14,736.95x = 191,762,898.90
  5. Step 5: Solve for x
    x = 191,762,898.90/14,736.95
  6. Step 6: Final answer
    x = 13,012.39

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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.