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Finding the Fourth Proportional to 25,071.14, 34,598.16 and 15,000

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Solution

The fourth proportional to 25,071.14, 34,598.16 and 15,000 is: 20,699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,071.14 : 34,598.16 = 15,000 : x
  2. Step 2: Convert to fraction form
    25,071.14/34,598.16 = 15,000/x
  3. Step 3: Cross multiply
    25,071.14x = 34,598.16 × 15,000
  4. Step 4: Simplify right side
    25,071.14x = 518,972,400.00
  5. Step 5: Solve for x
    x = 518,972,400.00/25,071.14
  6. Step 6: Final answer
    x = 20,699.99

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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.