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Finding the Fourth Proportional to 13,153.64, 18,152.06 and 7,185.38

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Solution

The fourth proportional to 13,153.64, 18,152.06 and 7,185.38 is: 9,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.64 : 18,152.06 = 7,185.38 : x
  2. Step 2: Convert to fraction form
    13,153.64/18,152.06 = 7,185.38/x
  3. Step 3: Cross multiply
    13,153.64x = 18,152.06 × 7,185.38
  4. Step 4: Simplify right side
    13,153.64x = 130,429,322.20
  5. Step 5: Solve for x
    x = 130,429,322.20/13,153.64
  6. Step 6: Final answer
    x = 9,915.84

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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.