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Finding the Fourth Proportional to 19,289.84, 28,929 and 6,807.52

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Solution

The fourth proportional to 19,289.84, 28,929 and 6,807.52 is: 10,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,289.84 : 28,929 = 6,807.52 : x
  2. Step 2: Convert to fraction form
    19,289.84/28,929 = 6,807.52/x
  3. Step 3: Cross multiply
    19,289.84x = 28,929 × 6,807.52
  4. Step 4: Simplify right side
    19,289.84x = 196,934,746.08
  5. Step 5: Solve for x
    x = 196,934,746.08/19,289.84
  6. Step 6: Final answer
    x = 10,209.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.