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Finding the Fourth Proportional to 15,716, 23,574.27 and 5,328.02

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Solution

The fourth proportional to 15,716, 23,574.27 and 5,328.02 is: 7,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716 : 23,574.27 = 5,328.02 : x
  2. Step 2: Convert to fraction form
    15,716/23,574.27 = 5,328.02/x
  3. Step 3: Cross multiply
    15,716x = 23,574.27 × 5,328.02
  4. Step 4: Simplify right side
    15,716x = 125,604,182.05
  5. Step 5: Solve for x
    x = 125,604,182.05/15,716
  6. Step 6: Final answer
    x = 7,992.12

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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.