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Finding the Fourth Proportional to 13,852.89, 19,116.99 and 7,565.22

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Solution

The fourth proportional to 13,852.89, 19,116.99 and 7,565.22 is: 10,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.89 : 19,116.99 = 7,565.22 : x
  2. Step 2: Convert to fraction form
    13,852.89/19,116.99 = 7,565.22/x
  3. Step 3: Cross multiply
    13,852.89x = 19,116.99 × 7,565.22
  4. Step 4: Simplify right side
    13,852.89x = 144,624,235.09
  5. Step 5: Solve for x
    x = 144,624,235.09/13,852.89
  6. Step 6: Final answer
    x = 10,440.00

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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.