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Finding the Fourth Proportional to 27,970.16, 38,599.08 and 15,395

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Solution

The fourth proportional to 27,970.16, 38,599.08 and 15,395 is: 21,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.16 : 38,599.08 = 15,395 : x
  2. Step 2: Convert to fraction form
    27,970.16/38,599.08 = 15,395/x
  3. Step 3: Cross multiply
    27,970.16x = 38,599.08 × 15,395
  4. Step 4: Simplify right side
    27,970.16x = 594,232,836.60
  5. Step 5: Solve for x
    x = 594,232,836.60/27,970.16
  6. Step 6: Final answer
    x = 21,245.24

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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.