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Finding the Fourth Proportional to 23,875.76, 32,957.76 and 15,915.08

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Solution

The fourth proportional to 23,875.76, 32,957.76 and 15,915.08 is: 21,968.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.76 : 32,957.76 = 15,915.08 : x
  2. Step 2: Convert to fraction form
    23,875.76/32,957.76 = 15,915.08/x
  3. Step 3: Cross multiply
    23,875.76x = 32,957.76 × 15,915.08
  4. Step 4: Simplify right side
    23,875.76x = 524,525,387.02
  5. Step 5: Solve for x
    x = 524,525,387.02/23,875.76
  6. Step 6: Final answer
    x = 21,968.95

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1.5x scale

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.