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Finding the Fourth Proportional to 13,433.61, 18,538.83 and 7,465.53

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Solution

The fourth proportional to 13,433.61, 18,538.83 and 7,465.53 is: 10,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.61 : 18,538.83 = 7,465.53 : x
  2. Step 2: Convert to fraction form
    13,433.61/18,538.83 = 7,465.53/x
  3. Step 3: Cross multiply
    13,433.61x = 18,538.83 × 7,465.53
  4. Step 4: Simplify right side
    13,433.61x = 138,402,061.51
  5. Step 5: Solve for x
    x = 138,402,061.51/13,433.61
  6. Step 6: Final answer
    x = 10,302.67

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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.