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Finding the Fourth Proportional to 13,780.63, 19,026.39 and 10,588.22

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Solution

The fourth proportional to 13,780.63, 19,026.39 and 10,588.22 is: 14,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.63 : 19,026.39 = 10,588.22 : x
  2. Step 2: Convert to fraction form
    13,780.63/19,026.39 = 10,588.22/x
  3. Step 3: Cross multiply
    13,780.63x = 19,026.39 × 10,588.22
  4. Step 4: Simplify right side
    13,780.63x = 201,455,603.13
  5. Step 5: Solve for x
    x = 201,455,603.13/13,780.63
  6. Step 6: Final answer
    x = 14,618.75

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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.