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Finding the Fourth Proportional to 10,925.76, 15,068.24 and 9,232.54

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Solution

The fourth proportional to 10,925.76, 15,068.24 and 9,232.54 is: 12,733.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.76 : 15,068.24 = 9,232.54 : x
  2. Step 2: Convert to fraction form
    10,925.76/15,068.24 = 9,232.54/x
  3. Step 3: Cross multiply
    10,925.76x = 15,068.24 × 9,232.54
  4. Step 4: Simplify right side
    10,925.76x = 139,118,079.32
  5. Step 5: Solve for x
    x = 139,118,079.32/10,925.76
  6. Step 6: Final answer
    x = 12,733.03

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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.