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Finding the Fourth Proportional to 12,598.41, 18,897.58 and 6,023.06

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Solution

The fourth proportional to 12,598.41, 18,897.58 and 6,023.06 is: 9,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.41 : 18,897.58 = 6,023.06 : x
  2. Step 2: Convert to fraction form
    12,598.41/18,897.58 = 6,023.06/x
  3. Step 3: Cross multiply
    12,598.41x = 18,897.58 × 6,023.06
  4. Step 4: Simplify right side
    12,598.41x = 113,821,225.16
  5. Step 5: Solve for x
    x = 113,821,225.16/12,598.41
  6. Step 6: Final answer
    x = 9,034.57

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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.