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Finding the Fourth Proportional to 16,564.61, 22,859.80 and 9,492.43

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Solution

The fourth proportional to 16,564.61, 22,859.80 and 9,492.43 is: 13,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.61 : 22,859.80 = 9,492.43 : x
  2. Step 2: Convert to fraction form
    16,564.61/22,859.80 = 9,492.43/x
  3. Step 3: Cross multiply
    16,564.61x = 22,859.80 × 9,492.43
  4. Step 4: Simplify right side
    16,564.61x = 216,994,970.43
  5. Step 5: Solve for x
    x = 216,994,970.43/16,564.61
  6. Step 6: Final answer
    x = 13,099.92

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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.