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Finding the Fourth Proportional to 15,763.77, 23,648.90 and 6,529.77

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Solution

The fourth proportional to 15,763.77, 23,648.90 and 6,529.77 is: 9,796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.77 : 23,648.90 = 6,529.77 : x
  2. Step 2: Convert to fraction form
    15,763.77/23,648.90 = 6,529.77/x
  3. Step 3: Cross multiply
    15,763.77x = 23,648.90 × 6,529.77
  4. Step 4: Simplify right side
    15,763.77x = 154,421,845.10
  5. Step 5: Solve for x
    x = 154,421,845.10/15,763.77
  6. Step 6: Final answer
    x = 9,796.00

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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.