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Finding the Fourth Proportional to 25,160, 34,722.24 and 13,985.60

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Solution

The fourth proportional to 25,160, 34,722.24 and 13,985.60 is: 19,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,160 : 34,722.24 = 13,985.60 : x
  2. Step 2: Convert to fraction form
    25,160/34,722.24 = 13,985.60/x
  3. Step 3: Cross multiply
    25,160x = 34,722.24 × 13,985.60
  4. Step 4: Simplify right side
    25,160x = 485,611,359.74
  5. Step 5: Solve for x
    x = 485,611,359.74/25,160
  6. Step 6: Final answer
    x = 19,300.93

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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.