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Finding the Fourth Proportional to 19,875.84, 27,429.13 and 10,924.19

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Solution

The fourth proportional to 19,875.84, 27,429.13 and 10,924.19 is: 15,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.84 : 27,429.13 = 10,924.19 : x
  2. Step 2: Convert to fraction form
    19,875.84/27,429.13 = 10,924.19/x
  3. Step 3: Cross multiply
    19,875.84x = 27,429.13 × 10,924.19
  4. Step 4: Simplify right side
    19,875.84x = 299,641,027.65
  5. Step 5: Solve for x
    x = 299,641,027.65/19,875.84
  6. Step 6: Final answer
    x = 15,075.64

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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.