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Finding the Fourth Proportional to 14,417.60, 19,896.64 and 8,130.38

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Solution

The fourth proportional to 14,417.60, 19,896.64 and 8,130.38 is: 11,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.60 : 19,896.64 = 8,130.38 : x
  2. Step 2: Convert to fraction form
    14,417.60/19,896.64 = 8,130.38/x
  3. Step 3: Cross multiply
    14,417.60x = 19,896.64 × 8,130.38
  4. Step 4: Simplify right side
    14,417.60x = 161,767,124.11
  5. Step 5: Solve for x
    x = 161,767,124.11/14,417.60
  6. Step 6: Final answer
    x = 11,220.12

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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.