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Finding the Fourth Proportional to 12,959.40, 19,458.62 and 10,354.60

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Solution

The fourth proportional to 12,959.40, 19,458.62 and 10,354.60 is: 15,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.40 : 19,458.62 = 10,354.60 : x
  2. Step 2: Convert to fraction form
    12,959.40/19,458.62 = 10,354.60/x
  3. Step 3: Cross multiply
    12,959.40x = 19,458.62 × 10,354.60
  4. Step 4: Simplify right side
    12,959.40x = 201,486,226.65
  5. Step 5: Solve for x
    x = 201,486,226.65/12,959.40
  6. Step 6: Final answer
    x = 15,547.50

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Why These Related Problems?

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