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Finding the Fourth Proportional to 24,075.64, 33,225.78 and 13,465

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Solution

The fourth proportional to 24,075.64, 33,225.78 and 13,465 is: 18,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075.64 : 33,225.78 = 13,465 : x
  2. Step 2: Convert to fraction form
    24,075.64/33,225.78 = 13,465/x
  3. Step 3: Cross multiply
    24,075.64x = 33,225.78 × 13,465
  4. Step 4: Simplify right side
    24,075.64x = 447,385,127.70
  5. Step 5: Solve for x
    x = 447,385,127.70/24,075.64
  6. Step 6: Final answer
    x = 18,582.48

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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.