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Finding the Fourth Proportional to 14,181.16, 19,570.10 and 7,807.58

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Solution

The fourth proportional to 14,181.16, 19,570.10 and 7,807.58 is: 10,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.16 : 19,570.10 = 7,807.58 : x
  2. Step 2: Convert to fraction form
    14,181.16/19,570.10 = 7,807.58/x
  3. Step 3: Cross multiply
    14,181.16x = 19,570.10 × 7,807.58
  4. Step 4: Simplify right side
    14,181.16x = 152,795,121.36
  5. Step 5: Solve for x
    x = 152,795,121.36/14,181.16
  6. Step 6: Final answer
    x = 10,774.52

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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.