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Finding the Fourth Proportional to 15,531.58, 21,432.87 and 8,457.34

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Solution

The fourth proportional to 15,531.58, 21,432.87 and 8,457.34 is: 11,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,531.58 : 21,432.87 = 8,457.34 : x
  2. Step 2: Convert to fraction form
    15,531.58/21,432.87 = 8,457.34/x
  3. Step 3: Cross multiply
    15,531.58x = 21,432.87 × 8,457.34
  4. Step 4: Simplify right side
    15,531.58x = 181,265,068.77
  5. Step 5: Solve for x
    x = 181,265,068.77/15,531.58
  6. Step 6: Final answer
    x = 11,670.74

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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.