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Finding the Fourth Proportional to 16,492.84, 22,748.70 and 10,201.48

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Solution

The fourth proportional to 16,492.84, 22,748.70 and 10,201.48 is: 14,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.84 : 22,748.70 = 10,201.48 : x
  2. Step 2: Convert to fraction form
    16,492.84/22,748.70 = 10,201.48/x
  3. Step 3: Cross multiply
    16,492.84x = 22,748.70 × 10,201.48
  4. Step 4: Simplify right side
    16,492.84x = 232,070,408.08
  5. Step 5: Solve for x
    x = 232,070,408.08/16,492.84
  6. Step 6: Final answer
    x = 14,070.98

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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.