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Finding the Fourth Proportional to 19,695.18, 27,178.80 and 10,742.24

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Solution

The fourth proportional to 19,695.18, 27,178.80 and 10,742.24 is: 14,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,695.18 : 27,178.80 = 10,742.24 : x
  2. Step 2: Convert to fraction form
    19,695.18/27,178.80 = 10,742.24/x
  3. Step 3: Cross multiply
    19,695.18x = 27,178.80 × 10,742.24
  4. Step 4: Simplify right side
    19,695.18x = 291,961,192.51
  5. Step 5: Solve for x
    x = 291,961,192.51/19,695.18
  6. Step 6: Final answer
    x = 14,823.99

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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.