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Finding the Fourth Proportional to 19,875, 27,427.50 and 11,492.04

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Solution

The fourth proportional to 19,875, 27,427.50 and 11,492.04 is: 15,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875 : 27,427.50 = 11,492.04 : x
  2. Step 2: Convert to fraction form
    19,875/27,427.50 = 11,492.04/x
  3. Step 3: Cross multiply
    19,875x = 27,427.50 × 11,492.04
  4. Step 4: Simplify right side
    19,875x = 315,197,927.10
  5. Step 5: Solve for x
    x = 315,197,927.10/19,875
  6. Step 6: Final answer
    x = 15,859.02

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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.