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Finding the Fourth Proportional to 24,915.40, 37,322.70 and 15,526.60

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Solution

The fourth proportional to 24,915.40, 37,322.70 and 15,526.60 is: 23,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,915.40 : 37,322.70 = 15,526.60 : x
  2. Step 2: Convert to fraction form
    24,915.40/37,322.70 = 15,526.60/x
  3. Step 3: Cross multiply
    24,915.40x = 37,322.70 × 15,526.60
  4. Step 4: Simplify right side
    24,915.40x = 579,494,633.82
  5. Step 5: Solve for x
    x = 579,494,633.82/24,915.40
  6. Step 6: Final answer
    x = 23,258.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.