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Finding the Fourth Proportional to 34,547.96, 51,816.40 and 12,357.20

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Solution

The fourth proportional to 34,547.96, 51,816.40 and 12,357.20 is: 18,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,547.96 : 51,816.40 = 12,357.20 : x
  2. Step 2: Convert to fraction form
    34,547.96/51,816.40 = 12,357.20/x
  3. Step 3: Cross multiply
    34,547.96x = 51,816.40 × 12,357.20
  4. Step 4: Simplify right side
    34,547.96x = 640,305,618.08
  5. Step 5: Solve for x
    x = 640,305,618.08/34,547.96
  6. Step 6: Final answer
    x = 18,533.82

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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.