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Finding the Fourth Proportional to 15,098.84, 20,833.04 and 9,130.38

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Solution

The fourth proportional to 15,098.84, 20,833.04 and 9,130.38 is: 12,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.84 : 20,833.04 = 9,130.38 : x
  2. Step 2: Convert to fraction form
    15,098.84/20,833.04 = 9,130.38/x
  3. Step 3: Cross multiply
    15,098.84x = 20,833.04 × 9,130.38
  4. Step 4: Simplify right side
    15,098.84x = 190,213,526.10
  5. Step 5: Solve for x
    x = 190,213,526.10/15,098.84
  6. Step 6: Final answer
    x = 12,597.89

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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.