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Finding the Fourth Proportional to 17,413, 26,097.60 and 12,492.28

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Solution

The fourth proportional to 17,413, 26,097.60 and 12,492.28 is: 18,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413 : 26,097.60 = 12,492.28 : x
  2. Step 2: Convert to fraction form
    17,413/26,097.60 = 12,492.28/x
  3. Step 3: Cross multiply
    17,413x = 26,097.60 × 12,492.28
  4. Step 4: Simplify right side
    17,413x = 326,018,526.53
  5. Step 5: Solve for x
    x = 326,018,526.53/17,413
  6. Step 6: Final answer
    x = 18,722.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.