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Finding the Fourth Proportional to 14,492, 21,741.72 and 4,103.72

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Solution

The fourth proportional to 14,492, 21,741.72 and 4,103.72 is: 6,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492 : 21,741.72 = 4,103.72 : x
  2. Step 2: Convert to fraction form
    14,492/21,741.72 = 4,103.72/x
  3. Step 3: Cross multiply
    14,492x = 21,741.72 × 4,103.72
  4. Step 4: Simplify right side
    14,492x = 89,221,931.20
  5. Step 5: Solve for x
    x = 89,221,931.20/14,492
  6. Step 6: Final answer
    x = 6,156.63

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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.