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Finding the Fourth Proportional to 17,256.76, 23,814.18 and 9,804.76

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Solution

The fourth proportional to 17,256.76, 23,814.18 and 9,804.76 is: 13,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,256.76 : 23,814.18 = 9,804.76 : x
  2. Step 2: Convert to fraction form
    17,256.76/23,814.18 = 9,804.76/x
  3. Step 3: Cross multiply
    17,256.76x = 23,814.18 × 9,804.76
  4. Step 4: Simplify right side
    17,256.76x = 233,492,319.50
  5. Step 5: Solve for x
    x = 233,492,319.50/17,256.76
  6. Step 6: Final answer
    x = 13,530.48

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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.