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Finding the Fourth Proportional to 15,547.80, 23,329.80 and 6,783.60

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Solution

The fourth proportional to 15,547.80, 23,329.80 and 6,783.60 is: 10,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,547.80 : 23,329.80 = 6,783.60 : x
  2. Step 2: Convert to fraction form
    15,547.80/23,329.80 = 6,783.60/x
  3. Step 3: Cross multiply
    15,547.80x = 23,329.80 × 6,783.60
  4. Step 4: Simplify right side
    15,547.80x = 158,260,031.28
  5. Step 5: Solve for x
    x = 158,260,031.28/15,547.80
  6. Step 6: Final answer
    x = 10,178.93

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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.