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Finding the Fourth Proportional to 23,484.41, 32,407.82 and 13,412.65

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Solution

The fourth proportional to 23,484.41, 32,407.82 and 13,412.65 is: 18,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,484.41 : 32,407.82 = 13,412.65 : x
  2. Step 2: Convert to fraction form
    23,484.41/32,407.82 = 13,412.65/x
  3. Step 3: Cross multiply
    23,484.41x = 32,407.82 × 13,412.65
  4. Step 4: Simplify right side
    23,484.41x = 434,674,656.48
  5. Step 5: Solve for x
    x = 434,674,656.48/23,484.41
  6. Step 6: Final answer
    x = 18,509.07

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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.