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Finding the Fourth Proportional to 24,856.34, 34,300.73 and 14,238.59

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Solution

The fourth proportional to 24,856.34, 34,300.73 and 14,238.59 is: 19,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.34 : 34,300.73 = 14,238.59 : x
  2. Step 2: Convert to fraction form
    24,856.34/34,300.73 = 14,238.59/x
  3. Step 3: Cross multiply
    24,856.34x = 34,300.73 × 14,238.59
  4. Step 4: Simplify right side
    24,856.34x = 488,393,895.26
  5. Step 5: Solve for x
    x = 488,393,895.26/24,856.34
  6. Step 6: Final answer
    x = 19,648.67

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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.