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Finding the Fourth Proportional to 16,368.21, 22,564.32 and 13,012.38

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Solution

The fourth proportional to 16,368.21, 22,564.32 and 13,012.38 is: 17,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,368.21 : 22,564.32 = 13,012.38 : x
  2. Step 2: Convert to fraction form
    16,368.21/22,564.32 = 13,012.38/x
  3. Step 3: Cross multiply
    16,368.21x = 22,564.32 × 13,012.38
  4. Step 4: Simplify right side
    16,368.21x = 293,615,506.28
  5. Step 5: Solve for x
    x = 293,615,506.28/16,368.21
  6. Step 6: Final answer
    x = 17,938.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.