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Finding the Fourth Proportional to 25,124.72, 34,671.48 and 13,946

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Solution

The fourth proportional to 25,124.72, 34,671.48 and 13,946 is: 19,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,124.72 : 34,671.48 = 13,946 : x
  2. Step 2: Convert to fraction form
    25,124.72/34,671.48 = 13,946/x
  3. Step 3: Cross multiply
    25,124.72x = 34,671.48 × 13,946
  4. Step 4: Simplify right side
    25,124.72x = 483,528,460.08
  5. Step 5: Solve for x
    x = 483,528,460.08/25,124.72
  6. Step 6: Final answer
    x = 19,245.13

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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.