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Finding the Fourth Proportional to 19,209.84, 26,509.50 and 10,711.86

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Solution

The fourth proportional to 19,209.84, 26,509.50 and 10,711.86 is: 14,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,209.84 : 26,509.50 = 10,711.86 : x
  2. Step 2: Convert to fraction form
    19,209.84/26,509.50 = 10,711.86/x
  3. Step 3: Cross multiply
    19,209.84x = 26,509.50 × 10,711.86
  4. Step 4: Simplify right side
    19,209.84x = 283,966,052.67
  5. Step 5: Solve for x
    x = 283,966,052.67/19,209.84
  6. Step 6: Final answer
    x = 14,782.32

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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.