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Finding the Fourth Proportional to 14,306.83, 19,741.93 and 8,337.23

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Solution

The fourth proportional to 14,306.83, 19,741.93 and 8,337.23 is: 11,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.83 : 19,741.93 = 8,337.23 : x
  2. Step 2: Convert to fraction form
    14,306.83/19,741.93 = 8,337.23/x
  3. Step 3: Cross multiply
    14,306.83x = 19,741.93 × 8,337.23
  4. Step 4: Simplify right side
    14,306.83x = 164,592,965.53
  5. Step 5: Solve for x
    x = 164,592,965.53/14,306.83
  6. Step 6: Final answer
    x = 11,504.50

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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.