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Finding the Fourth Proportional to 14,802.30, 22,199.40 and 6,038.10

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Solution

The fourth proportional to 14,802.30, 22,199.40 and 6,038.10 is: 9,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.30 : 22,199.40 = 6,038.10 : x
  2. Step 2: Convert to fraction form
    14,802.30/22,199.40 = 6,038.10/x
  3. Step 3: Cross multiply
    14,802.30x = 22,199.40 × 6,038.10
  4. Step 4: Simplify right side
    14,802.30x = 134,042,197.14
  5. Step 5: Solve for x
    x = 134,042,197.14/14,802.30
  6. Step 6: Final answer
    x = 9,055.50

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Why These Related Problems?

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