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Finding the Fourth Proportional to 23,700.37, 32,706.51 and 13,090

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Solution

The fourth proportional to 23,700.37, 32,706.51 and 13,090 is: 18,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,700.37 : 32,706.51 = 13,090 : x
  2. Step 2: Convert to fraction form
    23,700.37/32,706.51 = 13,090/x
  3. Step 3: Cross multiply
    23,700.37x = 32,706.51 × 13,090
  4. Step 4: Simplify right side
    23,700.37x = 428,128,215.90
  5. Step 5: Solve for x
    x = 428,128,215.90/23,700.37
  6. Step 6: Final answer
    x = 18,064.20

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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.