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Finding the Fourth Proportional to 13,434.58, 18,538.86 and 7,465.89

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Solution

The fourth proportional to 13,434.58, 18,538.86 and 7,465.89 is: 10,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.58 : 18,538.86 = 7,465.89 : x
  2. Step 2: Convert to fraction form
    13,434.58/18,538.86 = 7,465.89/x
  3. Step 3: Cross multiply
    13,434.58x = 18,538.86 × 7,465.89
  4. Step 4: Simplify right side
    13,434.58x = 138,409,089.49
  5. Step 5: Solve for x
    x = 138,409,089.49/13,434.58
  6. Step 6: Final answer
    x = 10,302.45

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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.