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Finding the Fourth Proportional to 21,384, 32,088.96 and 9,072

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Solution

The fourth proportional to 21,384, 32,088.96 and 9,072 is: 13,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384 : 32,088.96 = 9,072 : x
  2. Step 2: Convert to fraction form
    21,384/32,088.96 = 9,072/x
  3. Step 3: Cross multiply
    21,384x = 32,088.96 × 9,072
  4. Step 4: Simplify right side
    21,384x = 291,111,045.12
  5. Step 5: Solve for x
    x = 291,111,045.12/21,384
  6. Step 6: Final answer
    x = 13,613.50

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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.