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Finding the Fourth Proportional to 13,809.16, 19,055.64 and 7,840.99

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Solution

The fourth proportional to 13,809.16, 19,055.64 and 7,840.99 is: 10,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.16 : 19,055.64 = 7,840.99 : x
  2. Step 2: Convert to fraction form
    13,809.16/19,055.64 = 7,840.99/x
  3. Step 3: Cross multiply
    13,809.16x = 19,055.64 × 7,840.99
  4. Step 4: Simplify right side
    13,809.16x = 149,415,082.68
  5. Step 5: Solve for x
    x = 149,415,082.68/13,809.16
  6. Step 6: Final answer
    x = 10,820.00

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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.