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Finding the Fourth Proportional to 14,182.54, 19,570.55 and 7,809.06

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Solution

The fourth proportional to 14,182.54, 19,570.55 and 7,809.06 is: 10,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.54 : 19,570.55 = 7,809.06 : x
  2. Step 2: Convert to fraction form
    14,182.54/19,570.55 = 7,809.06/x
  3. Step 3: Cross multiply
    14,182.54x = 19,570.55 × 7,809.06
  4. Step 4: Simplify right side
    14,182.54x = 152,827,520.85
  5. Step 5: Solve for x
    x = 152,827,520.85/14,182.54
  6. Step 6: Final answer
    x = 10,775.75

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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.