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Finding the Fourth Proportional to 24,075.08, 36,088.02 and 9,278.20

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Solution

The fourth proportional to 24,075.08, 36,088.02 and 9,278.20 is: 13,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075.08 : 36,088.02 = 9,278.20 : x
  2. Step 2: Convert to fraction form
    24,075.08/36,088.02 = 9,278.20/x
  3. Step 3: Cross multiply
    24,075.08x = 36,088.02 × 9,278.20
  4. Step 4: Simplify right side
    24,075.08x = 334,831,867.16
  5. Step 5: Solve for x
    x = 334,831,867.16/24,075.08
  6. Step 6: Final answer
    x = 13,907.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.