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Finding the Fourth Proportional to 15,336, 23,009.40 and 7,550.28

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Solution

The fourth proportional to 15,336, 23,009.40 and 7,550.28 is: 11,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,336 : 23,009.40 = 7,550.28 : x
  2. Step 2: Convert to fraction form
    15,336/23,009.40 = 7,550.28/x
  3. Step 3: Cross multiply
    15,336x = 23,009.40 × 7,550.28
  4. Step 4: Simplify right side
    15,336x = 173,727,412.63
  5. Step 5: Solve for x
    x = 173,727,412.63/15,336
  6. Step 6: Final answer
    x = 11,328.08

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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.