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Finding the Fourth Proportional to 19,206.84, 26,505.56 and 10,709.50

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Solution

The fourth proportional to 19,206.84, 26,505.56 and 10,709.50 is: 14,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206.84 : 26,505.56 = 10,709.50 : x
  2. Step 2: Convert to fraction form
    19,206.84/26,505.56 = 10,709.50/x
  3. Step 3: Cross multiply
    19,206.84x = 26,505.56 × 10,709.50
  4. Step 4: Simplify right side
    19,206.84x = 283,861,294.82
  5. Step 5: Solve for x
    x = 283,861,294.82/19,206.84
  6. Step 6: Final answer
    x = 14,779.18

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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.