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Finding the Fourth Proportional to 28,028, 38,678.72 and 15,281.32

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Solution

The fourth proportional to 28,028, 38,678.72 and 15,281.32 is: 21,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,028 : 38,678.72 = 15,281.32 : x
  2. Step 2: Convert to fraction form
    28,028/38,678.72 = 15,281.32/x
  3. Step 3: Cross multiply
    28,028x = 38,678.72 × 15,281.32
  4. Step 4: Simplify right side
    28,028x = 591,061,897.51
  5. Step 5: Solve for x
    x = 591,061,897.51/28,028
  6. Step 6: Final answer
    x = 21,088.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.