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Finding the Fourth Proportional to 27,405.02, 37,820.63 and 15,464

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Solution

The fourth proportional to 27,405.02, 37,820.63 and 15,464 is: 21,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.02 : 37,820.63 = 15,464 : x
  2. Step 2: Convert to fraction form
    27,405.02/37,820.63 = 15,464/x
  3. Step 3: Cross multiply
    27,405.02x = 37,820.63 × 15,464
  4. Step 4: Simplify right side
    27,405.02x = 584,858,222.32
  5. Step 5: Solve for x
    x = 584,858,222.32/27,405.02
  6. Step 6: Final answer
    x = 21,341.28

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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.