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Finding the Fourth Proportional to 18,014.95, 24,858.06 and 10,057

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Solution

The fourth proportional to 18,014.95, 24,858.06 and 10,057 is: 13,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,014.95 : 24,858.06 = 10,057 : x
  2. Step 2: Convert to fraction form
    18,014.95/24,858.06 = 10,057/x
  3. Step 3: Cross multiply
    18,014.95x = 24,858.06 × 10,057
  4. Step 4: Simplify right side
    18,014.95x = 249,997,509.42
  5. Step 5: Solve for x
    x = 249,997,509.42/18,014.95
  6. Step 6: Final answer
    x = 13,877.22

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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.