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Finding the Fourth Proportional to 19,877.32, 27,430.60 and 10,925

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Solution

The fourth proportional to 19,877.32, 27,430.60 and 10,925 is: 15,076.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.32 : 27,430.60 = 10,925 : x
  2. Step 2: Convert to fraction form
    19,877.32/27,430.60 = 10,925/x
  3. Step 3: Cross multiply
    19,877.32x = 27,430.60 × 10,925
  4. Step 4: Simplify right side
    19,877.32x = 299,679,305
  5. Step 5: Solve for x
    x = 299,679,305/19,877.32
  6. Step 6: Final answer
    x = 15,076.44

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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.