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Finding the Fourth Proportional to 13,434.55, 18,539.55 and 7,466.10

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Solution

The fourth proportional to 13,434.55, 18,539.55 and 7,466.10 is: 10,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.55 : 18,539.55 = 7,466.10 : x
  2. Step 2: Convert to fraction form
    13,434.55/18,539.55 = 7,466.10/x
  3. Step 3: Cross multiply
    13,434.55x = 18,539.55 × 7,466.10
  4. Step 4: Simplify right side
    13,434.55x = 138,418,085.38
  5. Step 5: Solve for x
    x = 138,418,085.38/13,434.55
  6. Step 6: Final answer
    x = 10,303.14

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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.