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Finding the Fourth Proportional to 16,434.84, 24,655.50 and 4,748.16

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Solution

The fourth proportional to 16,434.84, 24,655.50 and 4,748.16 is: 7,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.84 : 24,655.50 = 4,748.16 : x
  2. Step 2: Convert to fraction form
    16,434.84/24,655.50 = 4,748.16/x
  3. Step 3: Cross multiply
    16,434.84x = 24,655.50 × 4,748.16
  4. Step 4: Simplify right side
    16,434.84x = 117,068,258.88
  5. Step 5: Solve for x
    x = 117,068,258.88/16,434.84
  6. Step 6: Final answer
    x = 7,123.18

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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.