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Finding the Fourth Proportional to 28,032.39, 38,684.76 and 15,457.14

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Solution

The fourth proportional to 28,032.39, 38,684.76 and 15,457.14 is: 21,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,032.39 : 38,684.76 = 15,457.14 : x
  2. Step 2: Convert to fraction form
    28,032.39/38,684.76 = 15,457.14/x
  3. Step 3: Cross multiply
    28,032.39x = 38,684.76 × 15,457.14
  4. Step 4: Simplify right side
    28,032.39x = 597,955,751.19
  5. Step 5: Solve for x
    x = 597,955,751.19/28,032.39
  6. Step 6: Final answer
    x = 21,330.89

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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.