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Finding the Fourth Proportional to 14,123.34, 19,489.95 and 7,835.58

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Solution

The fourth proportional to 14,123.34, 19,489.95 and 7,835.58 is: 10,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.34 : 19,489.95 = 7,835.58 : x
  2. Step 2: Convert to fraction form
    14,123.34/19,489.95 = 7,835.58/x
  3. Step 3: Cross multiply
    14,123.34x = 19,489.95 × 7,835.58
  4. Step 4: Simplify right side
    14,123.34x = 152,715,062.42
  5. Step 5: Solve for x
    x = 152,715,062.42/14,123.34
  6. Step 6: Final answer
    x = 10,812.96

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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.