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Finding the Fourth Proportional to 19,462.34, 26,856.50 and 10,964

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Solution

The fourth proportional to 19,462.34, 26,856.50 and 10,964 is: 15,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462.34 : 26,856.50 = 10,964 : x
  2. Step 2: Convert to fraction form
    19,462.34/26,856.50 = 10,964/x
  3. Step 3: Cross multiply
    19,462.34x = 26,856.50 × 10,964
  4. Step 4: Simplify right side
    19,462.34x = 294,454,666
  5. Step 5: Solve for x
    x = 294,454,666/19,462.34
  6. Step 6: Final answer
    x = 15,129.46

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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.