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Finding the Fourth Proportional to 15,915.18, 23,854.77 and 8,107.50

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Solution

The fourth proportional to 15,915.18, 23,854.77 and 8,107.50 is: 12,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.18 : 23,854.77 = 8,107.50 : x
  2. Step 2: Convert to fraction form
    15,915.18/23,854.77 = 8,107.50/x
  3. Step 3: Cross multiply
    15,915.18x = 23,854.77 × 8,107.50
  4. Step 4: Simplify right side
    15,915.18x = 193,402,547.78
  5. Step 5: Solve for x
    x = 193,402,547.78/15,915.18
  6. Step 6: Final answer
    x = 12,152.08

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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.