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Finding the Fourth Proportional to 19,207.86, 26,507.14 and 10,709.74

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Solution

The fourth proportional to 19,207.86, 26,507.14 and 10,709.74 is: 14,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,207.86 : 26,507.14 = 10,709.74 : x
  2. Step 2: Convert to fraction form
    19,207.86/26,507.14 = 10,709.74/x
  3. Step 3: Cross multiply
    19,207.86x = 26,507.14 × 10,709.74
  4. Step 4: Simplify right side
    19,207.86x = 283,884,577.54
  5. Step 5: Solve for x
    x = 283,884,577.54/19,207.86
  6. Step 6: Final answer
    x = 14,779.60

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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.