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Finding the Fourth Proportional to 14,127.61, 19,499.69 and 9,653.17

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Solution

The fourth proportional to 14,127.61, 19,499.69 and 9,653.17 is: 13,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.61 : 19,499.69 = 9,653.17 : x
  2. Step 2: Convert to fraction form
    14,127.61/19,499.69 = 9,653.17/x
  3. Step 3: Cross multiply
    14,127.61x = 19,499.69 × 9,653.17
  4. Step 4: Simplify right side
    14,127.61x = 188,233,822.52
  5. Step 5: Solve for x
    x = 188,233,822.52/14,127.61
  6. Step 6: Final answer
    x = 13,323.83

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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.