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Finding the Fourth Proportional to 26,522.19, 39,783.27 and 7,802.40

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Solution

The fourth proportional to 26,522.19, 39,783.27 and 7,802.40 is: 11,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,522.19 : 39,783.27 = 7,802.40 : x
  2. Step 2: Convert to fraction form
    26,522.19/39,783.27 = 7,802.40/x
  3. Step 3: Cross multiply
    26,522.19x = 39,783.27 × 7,802.40
  4. Step 4: Simplify right side
    26,522.19x = 310,404,985.85
  5. Step 5: Solve for x
    x = 310,404,985.85/26,522.19
  6. Step 6: Final answer
    x = 11,703.60

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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.