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Finding the Fourth Proportional to 14,048.51, 19,386.39 and 8,384.18

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Solution

The fourth proportional to 14,048.51, 19,386.39 and 8,384.18 is: 11,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.51 : 19,386.39 = 8,384.18 : x
  2. Step 2: Convert to fraction form
    14,048.51/19,386.39 = 8,384.18/x
  3. Step 3: Cross multiply
    14,048.51x = 19,386.39 × 8,384.18
  4. Step 4: Simplify right side
    14,048.51x = 162,539,034.23
  5. Step 5: Solve for x
    x = 162,539,034.23/14,048.51
  6. Step 6: Final answer
    x = 11,569.84

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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.