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Finding the Fourth Proportional to 14,834.71, 20,492.94 and 12,975.76

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Solution

The fourth proportional to 14,834.71, 20,492.94 and 12,975.76 is: 17,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.71 : 20,492.94 = 12,975.76 : x
  2. Step 2: Convert to fraction form
    14,834.71/20,492.94 = 12,975.76/x
  3. Step 3: Cross multiply
    14,834.71x = 20,492.94 × 12,975.76
  4. Step 4: Simplify right side
    14,834.71x = 265,911,471.13
  5. Step 5: Solve for x
    x = 265,911,471.13/14,834.71
  6. Step 6: Final answer
    x = 17,924.95

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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.