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Finding the Fourth Proportional to 26,346, 39,534.52 and 9,717.64

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Solution

The fourth proportional to 26,346, 39,534.52 and 9,717.64 is: 14,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,346 : 39,534.52 = 9,717.64 : x
  2. Step 2: Convert to fraction form
    26,346/39,534.52 = 9,717.64/x
  3. Step 3: Cross multiply
    26,346x = 39,534.52 × 9,717.64
  4. Step 4: Simplify right side
    26,346x = 384,182,232.93
  5. Step 5: Solve for x
    x = 384,182,232.93/26,346
  6. Step 6: Final answer
    x = 14,582.18

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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.