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Finding the Fourth Proportional to 15,673.28, 23,513.80 and 7,779.50

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Solution

The fourth proportional to 15,673.28, 23,513.80 and 7,779.50 is: 11,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,673.28 : 23,513.80 = 7,779.50 : x
  2. Step 2: Convert to fraction form
    15,673.28/23,513.80 = 7,779.50/x
  3. Step 3: Cross multiply
    15,673.28x = 23,513.80 × 7,779.50
  4. Step 4: Simplify right side
    15,673.28x = 182,925,489.53
  5. Step 5: Solve for x
    x = 182,925,489.53/15,673.28
  6. Step 6: Final answer
    x = 11,671.17

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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.