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Finding the Fourth Proportional to 13,557, 18,707.58 and 7,588.38

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Solution

The fourth proportional to 13,557, 18,707.58 and 7,588.38 is: 10,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,557 : 18,707.58 = 7,588.38 : x
  2. Step 2: Convert to fraction form
    13,557/18,707.58 = 7,588.38/x
  3. Step 3: Cross multiply
    13,557x = 18,707.58 × 7,588.38
  4. Step 4: Simplify right side
    13,557x = 141,960,225.92
  5. Step 5: Solve for x
    x = 141,960,225.92/13,557
  6. Step 6: Final answer
    x = 10,471.36

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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.