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Finding the Fourth Proportional to 17,842.16, 26,746.76 and 6,152.78

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Solution

The fourth proportional to 17,842.16, 26,746.76 and 6,152.78 is: 9,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.16 : 26,746.76 = 6,152.78 : x
  2. Step 2: Convert to fraction form
    17,842.16/26,746.76 = 6,152.78/x
  3. Step 3: Cross multiply
    17,842.16x = 26,746.76 × 6,152.78
  4. Step 4: Simplify right side
    17,842.16x = 164,566,929.99
  5. Step 5: Solve for x
    x = 164,566,929.99/17,842.16
  6. Step 6: Final answer
    x = 9,223.49

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