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Finding the Fourth Proportional to 23,578.99, 32,538 and 12,967.94

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Solution

The fourth proportional to 23,578.99, 32,538 and 12,967.94 is: 17,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.99 : 32,538 = 12,967.94 : x
  2. Step 2: Convert to fraction form
    23,578.99/32,538 = 12,967.94/x
  3. Step 3: Cross multiply
    23,578.99x = 32,538 × 12,967.94
  4. Step 4: Simplify right side
    23,578.99x = 421,950,831.72
  5. Step 5: Solve for x
    x = 421,950,831.72/23,578.99
  6. Step 6: Final answer
    x = 17,895.20

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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.