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Finding the Fourth Proportional to 25,802.14, 38,701.57 and 9,159.98

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Solution

The fourth proportional to 25,802.14, 38,701.57 and 9,159.98 is: 13,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.14 : 38,701.57 = 9,159.98 : x
  2. Step 2: Convert to fraction form
    25,802.14/38,701.57 = 9,159.98/x
  3. Step 3: Cross multiply
    25,802.14x = 38,701.57 × 9,159.98
  4. Step 4: Simplify right side
    25,802.14x = 354,505,607.17
  5. Step 5: Solve for x
    x = 354,505,607.17/25,802.14
  6. Step 6: Final answer
    x = 13,739.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.