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Finding the Fourth Proportional to 12,465.34, 18,670.53 and 10,303.66

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Solution

The fourth proportional to 12,465.34, 18,670.53 and 10,303.66 is: 15,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.34 : 18,670.53 = 10,303.66 : x
  2. Step 2: Convert to fraction form
    12,465.34/18,670.53 = 10,303.66/x
  3. Step 3: Cross multiply
    12,465.34x = 18,670.53 × 10,303.66
  4. Step 4: Simplify right side
    12,465.34x = 192,374,699.79
  5. Step 5: Solve for x
    x = 192,374,699.79/12,465.34
  6. Step 6: Final answer
    x = 15,432.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.