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Finding the Fourth Proportional to 19,752.32, 27,264.48 and 13,784

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Solution

The fourth proportional to 19,752.32, 27,264.48 and 13,784 is: 19,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.32 : 27,264.48 = 13,784 : x
  2. Step 2: Convert to fraction form
    19,752.32/27,264.48 = 13,784/x
  3. Step 3: Cross multiply
    19,752.32x = 27,264.48 × 13,784
  4. Step 4: Simplify right side
    19,752.32x = 375,813,592.32
  5. Step 5: Solve for x
    x = 375,813,592.32/19,752.32
  6. Step 6: Final answer
    x = 19,026.30

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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.