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Finding the Fourth Proportional to 26,523.42, 39,783.84 and 7,802.70

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Solution

The fourth proportional to 26,523.42, 39,783.84 and 7,802.70 is: 11,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,523.42 : 39,783.84 = 7,802.70 : x
  2. Step 2: Convert to fraction form
    26,523.42/39,783.84 = 7,802.70/x
  3. Step 3: Cross multiply
    26,523.42x = 39,783.84 × 7,802.70
  4. Step 4: Simplify right side
    26,523.42x = 310,421,368.37
  5. Step 5: Solve for x
    x = 310,421,368.37/26,523.42
  6. Step 6: Final answer
    x = 11,703.67

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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.