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Finding the Fourth Proportional to 21,097.67, 29,088.32 and 13,530.65

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Solution

The fourth proportional to 21,097.67, 29,088.32 and 13,530.65 is: 18,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.67 : 29,088.32 = 13,530.65 : x
  2. Step 2: Convert to fraction form
    21,097.67/29,088.32 = 13,530.65/x
  3. Step 3: Cross multiply
    21,097.67x = 29,088.32 × 13,530.65
  4. Step 4: Simplify right side
    21,097.67x = 393,583,663.91
  5. Step 5: Solve for x
    x = 393,583,663.91/21,097.67
  6. Step 6: Final answer
    x = 18,655.32

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