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Finding the Fourth Proportional to 19,634.47, 27,094.95 and 10,681.74

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Solution

The fourth proportional to 19,634.47, 27,094.95 and 10,681.74 is: 14,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634.47 : 27,094.95 = 10,681.74 : x
  2. Step 2: Convert to fraction form
    19,634.47/27,094.95 = 10,681.74/x
  3. Step 3: Cross multiply
    19,634.47x = 27,094.95 × 10,681.74
  4. Step 4: Simplify right side
    19,634.47x = 289,421,157.80
  5. Step 5: Solve for x
    x = 289,421,157.80/19,634.47
  6. Step 6: Final answer
    x = 14,740.47

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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.