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Finding the Fourth Proportional to 12,075.60, 18,113.40 and 9,159.60

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Solution

The fourth proportional to 12,075.60, 18,113.40 and 9,159.60 is: 13,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.60 : 18,113.40 = 9,159.60 : x
  2. Step 2: Convert to fraction form
    12,075.60/18,113.40 = 9,159.60/x
  3. Step 3: Cross multiply
    12,075.60x = 18,113.40 × 9,159.60
  4. Step 4: Simplify right side
    12,075.60x = 165,911,498.64
  5. Step 5: Solve for x
    x = 165,911,498.64/12,075.60
  6. Step 6: Final answer
    x = 13,739.40

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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.