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Finding the Fourth Proportional to 26,861.83, 37,070 and 14,926.30

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Solution

The fourth proportional to 26,861.83, 37,070 and 14,926.30 is: 20,598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,861.83 : 37,070 = 14,926.30 : x
  2. Step 2: Convert to fraction form
    26,861.83/37,070 = 14,926.30/x
  3. Step 3: Cross multiply
    26,861.83x = 37,070 × 14,926.30
  4. Step 4: Simplify right side
    26,861.83x = 553,317,941
  5. Step 5: Solve for x
    x = 553,317,941/26,861.83
  6. Step 6: Final answer
    x = 20,598.67

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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.