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Finding the Fourth Proportional to 14,638.16, 21,955.08 and 5,402

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Solution

The fourth proportional to 14,638.16, 21,955.08 and 5,402 is: 8,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.16 : 21,955.08 = 5,402 : x
  2. Step 2: Convert to fraction form
    14,638.16/21,955.08 = 5,402/x
  3. Step 3: Cross multiply
    14,638.16x = 21,955.08 × 5,402
  4. Step 4: Simplify right side
    14,638.16x = 118,601,342.16
  5. Step 5: Solve for x
    x = 118,601,342.16/14,638.16
  6. Step 6: Final answer
    x = 8,102.20

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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.