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Finding the Fourth Proportional to 14,106.87, 19,461.22 and 9,070.16

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Solution

The fourth proportional to 14,106.87, 19,461.22 and 9,070.16 is: 12,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.87 : 19,461.22 = 9,070.16 : x
  2. Step 2: Convert to fraction form
    14,106.87/19,461.22 = 9,070.16/x
  3. Step 3: Cross multiply
    14,106.87x = 19,461.22 × 9,070.16
  4. Step 4: Simplify right side
    14,106.87x = 176,516,259.21
  5. Step 5: Solve for x
    x = 176,516,259.21/14,106.87
  6. Step 6: Final answer
    x = 12,512.79

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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.