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Finding the Fourth Proportional to 20,130, 27,779.40 and 11,746.56

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Solution

The fourth proportional to 20,130, 27,779.40 and 11,746.56 is: 16,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130 : 27,779.40 = 11,746.56 : x
  2. Step 2: Convert to fraction form
    20,130/27,779.40 = 11,746.56/x
  3. Step 3: Cross multiply
    20,130x = 27,779.40 × 11,746.56
  4. Step 4: Simplify right side
    20,130x = 326,312,388.86
  5. Step 5: Solve for x
    x = 326,312,388.86/20,130
  6. Step 6: Final answer
    x = 16,210.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.