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Finding the Fourth Proportional to 17,368.32, 23,968.64 and 9,916.80

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Solution

The fourth proportional to 17,368.32, 23,968.64 and 9,916.80 is: 13,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,368.32 : 23,968.64 = 9,916.80 : x
  2. Step 2: Convert to fraction form
    17,368.32/23,968.64 = 9,916.80/x
  3. Step 3: Cross multiply
    17,368.32x = 23,968.64 × 9,916.80
  4. Step 4: Simplify right side
    17,368.32x = 237,692,209.15
  5. Step 5: Solve for x
    x = 237,692,209.15/17,368.32
  6. Step 6: Final answer
    x = 13,685.39

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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.