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Finding the Fourth Proportional to 14,637, 20,193.55 and 9,604.00

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Solution

The fourth proportional to 14,637, 20,193.55 and 9,604.00 is: 13,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,637 : 20,193.55 = 9,604.00 : x
  2. Step 2: Convert to fraction form
    14,637/20,193.55 = 9,604.00/x
  3. Step 3: Cross multiply
    14,637x = 20,193.55 × 9,604.00
  4. Step 4: Simplify right side
    14,637x = 193,938,779.71
  5. Step 5: Solve for x
    x = 193,938,779.71/14,637
  6. Step 6: Final answer
    x = 13,249.90

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