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Finding the Fourth Proportional to 16,070.80, 24,095.40 and 7,301.20

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Solution

The fourth proportional to 16,070.80, 24,095.40 and 7,301.20 is: 10,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.80 : 24,095.40 = 7,301.20 : x
  2. Step 2: Convert to fraction form
    16,070.80/24,095.40 = 7,301.20/x
  3. Step 3: Cross multiply
    16,070.80x = 24,095.40 × 7,301.20
  4. Step 4: Simplify right side
    16,070.80x = 175,925,334.48
  5. Step 5: Solve for x
    x = 175,925,334.48/16,070.80
  6. Step 6: Final answer
    x = 10,946.89

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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.