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Finding the Fourth Proportional to 16,364.63, 22,577.74 and 10,397.77

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Solution

The fourth proportional to 16,364.63, 22,577.74 and 10,397.77 is: 14,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.63 : 22,577.74 = 10,397.77 : x
  2. Step 2: Convert to fraction form
    16,364.63/22,577.74 = 10,397.77/x
  3. Step 3: Cross multiply
    16,364.63x = 22,577.74 × 10,397.77
  4. Step 4: Simplify right side
    16,364.63x = 234,758,065.20
  5. Step 5: Solve for x
    x = 234,758,065.20/16,364.63
  6. Step 6: Final answer
    x = 14,345.45

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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.