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Finding the Fourth Proportional to 16,345.64, 22,541.60 and 10,678.57

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Solution

The fourth proportional to 16,345.64, 22,541.60 and 10,678.57 is: 14,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,345.64 : 22,541.60 = 10,678.57 : x
  2. Step 2: Convert to fraction form
    16,345.64/22,541.60 = 10,678.57/x
  3. Step 3: Cross multiply
    16,345.64x = 22,541.60 × 10,678.57
  4. Step 4: Simplify right side
    16,345.64x = 240,712,053.51
  5. Step 5: Solve for x
    x = 240,712,053.51/16,345.64
  6. Step 6: Final answer
    x = 14,726.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.