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Finding the Fourth Proportional to 19,915.40, 29,829.90 and 16,459.40

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Solution

The fourth proportional to 19,915.40, 29,829.90 and 16,459.40 is: 24,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,915.40 : 29,829.90 = 16,459.40 : x
  2. Step 2: Convert to fraction form
    19,915.40/29,829.90 = 16,459.40/x
  3. Step 3: Cross multiply
    19,915.40x = 29,829.90 × 16,459.40
  4. Step 4: Simplify right side
    19,915.40x = 490,982,256.06
  5. Step 5: Solve for x
    x = 490,982,256.06/19,915.40
  6. Step 6: Final answer
    x = 24,653.40

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