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Finding the Fourth Proportional to 14,306.99, 19,741.24 and 9,534.06

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Solution

The fourth proportional to 14,306.99, 19,741.24 and 9,534.06 is: 13,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.99 : 19,741.24 = 9,534.06 : x
  2. Step 2: Convert to fraction form
    14,306.99/19,741.24 = 9,534.06/x
  3. Step 3: Cross multiply
    14,306.99x = 19,741.24 × 9,534.06
  4. Step 4: Simplify right side
    14,306.99x = 188,214,178.55
  5. Step 5: Solve for x
    x = 188,214,178.55/14,306.99
  6. Step 6: Final answer
    x = 13,155.40

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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.