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Finding the Fourth Proportional to 14,386.64, 19,852.15 and 8,013.02

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Solution

The fourth proportional to 14,386.64, 19,852.15 and 8,013.02 is: 11,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.64 : 19,852.15 = 8,013.02 : x
  2. Step 2: Convert to fraction form
    14,386.64/19,852.15 = 8,013.02/x
  3. Step 3: Cross multiply
    14,386.64x = 19,852.15 × 8,013.02
  4. Step 4: Simplify right side
    14,386.64x = 159,075,555.70
  5. Step 5: Solve for x
    x = 159,075,555.70/14,386.64
  6. Step 6: Final answer
    x = 11,057.17

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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.