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Finding the Fourth Proportional to 19,324, 26,667.12 and 10,492

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Solution

The fourth proportional to 19,324, 26,667.12 and 10,492 is: 14,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,324 : 26,667.12 = 10,492 : x
  2. Step 2: Convert to fraction form
    19,324/26,667.12 = 10,492/x
  3. Step 3: Cross multiply
    19,324x = 26,667.12 × 10,492
  4. Step 4: Simplify right side
    19,324x = 279,791,423.04
  5. Step 5: Solve for x
    x = 279,791,423.04/19,324
  6. Step 6: Final answer
    x = 14,478.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.