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Finding the Fourth Proportional to 21,051.27, 31,581.95 and 7,011.42

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Solution

The fourth proportional to 21,051.27, 31,581.95 and 7,011.42 is: 10,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.27 : 31,581.95 = 7,011.42 : x
  2. Step 2: Convert to fraction form
    21,051.27/31,581.95 = 7,011.42/x
  3. Step 3: Cross multiply
    21,051.27x = 31,581.95 × 7,011.42
  4. Step 4: Simplify right side
    21,051.27x = 221,434,280.81
  5. Step 5: Solve for x
    x = 221,434,280.81/21,051.27
  6. Step 6: Final answer
    x = 10,518.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.