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Finding the Fourth Proportional to 14,105.16, 19,456.31 and 9,075.93

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Solution

The fourth proportional to 14,105.16, 19,456.31 and 9,075.93 is: 12,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.16 : 19,456.31 = 9,075.93 : x
  2. Step 2: Convert to fraction form
    14,105.16/19,456.31 = 9,075.93/x
  3. Step 3: Cross multiply
    14,105.16x = 19,456.31 × 9,075.93
  4. Step 4: Simplify right side
    14,105.16x = 176,584,062.24
  5. Step 5: Solve for x
    x = 176,584,062.24/14,105.16
  6. Step 6: Final answer
    x = 12,519.11

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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.