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Finding the Fourth Proportional to 15,059.19, 20,779.54 and 8,345.20

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Solution

The fourth proportional to 15,059.19, 20,779.54 and 8,345.20 is: 11,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,059.19 : 20,779.54 = 8,345.20 : x
  2. Step 2: Convert to fraction form
    15,059.19/20,779.54 = 8,345.20/x
  3. Step 3: Cross multiply
    15,059.19x = 20,779.54 × 8,345.20
  4. Step 4: Simplify right side
    15,059.19x = 173,409,417.21
  5. Step 5: Solve for x
    x = 173,409,417.21/15,059.19
  6. Step 6: Final answer
    x = 11,515.19

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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.