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Finding the Fourth Proportional to 16,437.90, 24,642.45 and 9,857.10

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Solution

The fourth proportional to 16,437.90, 24,642.45 and 9,857.10 is: 14,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437.90 : 24,642.45 = 9,857.10 : x
  2. Step 2: Convert to fraction form
    16,437.90/24,642.45 = 9,857.10/x
  3. Step 3: Cross multiply
    16,437.90x = 24,642.45 × 9,857.10
  4. Step 4: Simplify right side
    16,437.90x = 242,903,093.90
  5. Step 5: Solve for x
    x = 242,903,093.90/16,437.90
  6. Step 6: Final answer
    x = 14,777.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.