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Finding the Fourth Proportional to 14,018.63, 19,345.70 and 7,731.41

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Solution

The fourth proportional to 14,018.63, 19,345.70 and 7,731.41 is: 10,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,018.63 : 19,345.70 = 7,731.41 : x
  2. Step 2: Convert to fraction form
    14,018.63/19,345.70 = 7,731.41/x
  3. Step 3: Cross multiply
    14,018.63x = 19,345.70 × 7,731.41
  4. Step 4: Simplify right side
    14,018.63x = 149,569,461.04
  5. Step 5: Solve for x
    x = 149,569,461.04/14,018.63
  6. Step 6: Final answer
    x = 10,669.34

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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.