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Finding the Fourth Proportional to 14,142.16, 19,516.29 and 8,840.10

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Solution

The fourth proportional to 14,142.16, 19,516.29 and 8,840.10 is: 12,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.16 : 19,516.29 = 8,840.10 : x
  2. Step 2: Convert to fraction form
    14,142.16/19,516.29 = 8,840.10/x
  3. Step 3: Cross multiply
    14,142.16x = 19,516.29 × 8,840.10
  4. Step 4: Simplify right side
    14,142.16x = 172,525,955.23
  5. Step 5: Solve for x
    x = 172,525,955.23/14,142.16
  6. Step 6: Final answer
    x = 12,199.41

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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.