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Finding the Fourth Proportional to 23,561.74, 32,515.12 and 13,490

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Solution

The fourth proportional to 23,561.74, 32,515.12 and 13,490 is: 18,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,561.74 : 32,515.12 = 13,490 : x
  2. Step 2: Convert to fraction form
    23,561.74/32,515.12 = 13,490/x
  3. Step 3: Cross multiply
    23,561.74x = 32,515.12 × 13,490
  4. Step 4: Simplify right side
    23,561.74x = 438,628,968.80
  5. Step 5: Solve for x
    x = 438,628,968.80/23,561.74
  6. Step 6: Final answer
    x = 18,616.15

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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.