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Finding the Fourth Proportional to 19,423.68, 26,784 and 12,715.20

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Solution

The fourth proportional to 19,423.68, 26,784 and 12,715.20 is: 17,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,423.68 : 26,784 = 12,715.20 : x
  2. Step 2: Convert to fraction form
    19,423.68/26,784 = 12,715.20/x
  3. Step 3: Cross multiply
    19,423.68x = 26,784 × 12,715.20
  4. Step 4: Simplify right side
    19,423.68x = 340,563,916.80
  5. Step 5: Solve for x
    x = 340,563,916.80/19,423.68
  6. Step 6: Final answer
    x = 17,533.44

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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.