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Finding the Fourth Proportional to 24,434.16, 33,719.14 and 13,256.16

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Solution

The fourth proportional to 24,434.16, 33,719.14 and 13,256.16 is: 18,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,434.16 : 33,719.14 = 13,256.16 : x
  2. Step 2: Convert to fraction form
    24,434.16/33,719.14 = 13,256.16/x
  3. Step 3: Cross multiply
    24,434.16x = 33,719.14 × 13,256.16
  4. Step 4: Simplify right side
    24,434.16x = 446,986,130.46
  5. Step 5: Solve for x
    x = 446,986,130.46/24,434.16
  6. Step 6: Final answer
    x = 18,293.50

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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.