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Finding the Fourth Proportional to 23,352, 32,225.69 and 12,741.63

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Solution

The fourth proportional to 23,352, 32,225.69 and 12,741.63 is: 17,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,352 : 32,225.69 = 12,741.63 : x
  2. Step 2: Convert to fraction form
    23,352/32,225.69 = 12,741.63/x
  3. Step 3: Cross multiply
    23,352x = 32,225.69 × 12,741.63
  4. Step 4: Simplify right side
    23,352x = 410,607,818.47
  5. Step 5: Solve for x
    x = 410,607,818.47/23,352
  6. Step 6: Final answer
    x = 17,583.41

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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.