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Finding the Fourth Proportional to 13,808.85, 19,056.69 and 7,840.32

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Solution

The fourth proportional to 13,808.85, 19,056.69 and 7,840.32 is: 10,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.85 : 19,056.69 = 7,840.32 : x
  2. Step 2: Convert to fraction form
    13,808.85/19,056.69 = 7,840.32/x
  3. Step 3: Cross multiply
    13,808.85x = 19,056.69 × 7,840.32
  4. Step 4: Simplify right side
    13,808.85x = 149,410,547.74
  5. Step 5: Solve for x
    x = 149,410,547.74/13,808.85
  6. Step 6: Final answer
    x = 10,819.91

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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.