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Finding the Fourth Proportional to 14,006.63, 19,325.31 and 9,752.91

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Solution

The fourth proportional to 14,006.63, 19,325.31 and 9,752.91 is: 13,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.63 : 19,325.31 = 9,752.91 : x
  2. Step 2: Convert to fraction form
    14,006.63/19,325.31 = 9,752.91/x
  3. Step 3: Cross multiply
    14,006.63x = 19,325.31 × 9,752.91
  4. Step 4: Simplify right side
    14,006.63x = 188,478,009.15
  5. Step 5: Solve for x
    x = 188,478,009.15/14,006.63
  6. Step 6: Final answer
    x = 13,456.34

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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.