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Finding the Fourth Proportional to 15,870.86, 23,807.46 and 4,184

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Solution

The fourth proportional to 15,870.86, 23,807.46 and 4,184 is: 6,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.86 : 23,807.46 = 4,184 : x
  2. Step 2: Convert to fraction form
    15,870.86/23,807.46 = 4,184/x
  3. Step 3: Cross multiply
    15,870.86x = 23,807.46 × 4,184
  4. Step 4: Simplify right side
    15,870.86x = 99,610,412.64
  5. Step 5: Solve for x
    x = 99,610,412.64/15,870.86
  6. Step 6: Final answer
    x = 6,276.31

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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.