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Finding the Fourth Proportional to 23,525.34, 32,465.54 and 12,915.16

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Solution

The fourth proportional to 23,525.34, 32,465.54 and 12,915.16 is: 17,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525.34 : 32,465.54 = 12,915.16 : x
  2. Step 2: Convert to fraction form
    23,525.34/32,465.54 = 12,915.16/x
  3. Step 3: Cross multiply
    23,525.34x = 32,465.54 × 12,915.16
  4. Step 4: Simplify right side
    23,525.34x = 419,297,643.59
  5. Step 5: Solve for x
    x = 419,297,643.59/23,525.34
  6. Step 6: Final answer
    x = 17,823.23

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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.