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Finding the Fourth Proportional to 14,142.04, 19,495.74 and 9,937.24

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Solution

The fourth proportional to 14,142.04, 19,495.74 and 9,937.24 is: 13,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.04 : 19,495.74 = 9,937.24 : x
  2. Step 2: Convert to fraction form
    14,142.04/19,495.74 = 9,937.24/x
  3. Step 3: Cross multiply
    14,142.04x = 19,495.74 × 9,937.24
  4. Step 4: Simplify right side
    14,142.04x = 193,733,847.36
  5. Step 5: Solve for x
    x = 193,733,847.36/14,142.04
  6. Step 6: Final answer
    x = 13,699.14

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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.