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Finding the Fourth Proportional to 24,705.64, 34,093.16 and 13,803.87

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Solution

The fourth proportional to 24,705.64, 34,093.16 and 13,803.87 is: 19,048.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.64 : 34,093.16 = 13,803.87 : x
  2. Step 2: Convert to fraction form
    24,705.64/34,093.16 = 13,803.87/x
  3. Step 3: Cross multiply
    24,705.64x = 34,093.16 × 13,803.87
  4. Step 4: Simplify right side
    24,705.64x = 470,617,477.06
  5. Step 5: Solve for x
    x = 470,617,477.06/24,705.64
  6. Step 6: Final answer
    x = 19,048.99

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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.