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Finding the Fourth Proportional to 24,145.79, 33,319.80 and 14,075.87

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Solution

The fourth proportional to 24,145.79, 33,319.80 and 14,075.87 is: 19,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.79 : 33,319.80 = 14,075.87 : x
  2. Step 2: Convert to fraction form
    24,145.79/33,319.80 = 14,075.87/x
  3. Step 3: Cross multiply
    24,145.79x = 33,319.80 × 14,075.87
  4. Step 4: Simplify right side
    24,145.79x = 469,005,006.63
  5. Step 5: Solve for x
    x = 469,005,006.63/24,145.79
  6. Step 6: Final answer
    x = 19,423.89

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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.