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Finding the Fourth Proportional to 24,866.08, 34,315.20 and 13,688

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Solution

The fourth proportional to 24,866.08, 34,315.20 and 13,688 is: 18,889.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,866.08 : 34,315.20 = 13,688 : x
  2. Step 2: Convert to fraction form
    24,866.08/34,315.20 = 13,688/x
  3. Step 3: Cross multiply
    24,866.08x = 34,315.20 × 13,688
  4. Step 4: Simplify right side
    24,866.08x = 469,706,457.60
  5. Step 5: Solve for x
    x = 469,706,457.60/24,866.08
  6. Step 6: Final answer
    x = 18,889.45

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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.