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Finding the Fourth Proportional to 17,802.60, 24,547.68 and 14,562.30

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Solution

The fourth proportional to 17,802.60, 24,547.68 and 14,562.30 is: 20,079.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.60 : 24,547.68 = 14,562.30 : x
  2. Step 2: Convert to fraction form
    17,802.60/24,547.68 = 14,562.30/x
  3. Step 3: Cross multiply
    17,802.60x = 24,547.68 × 14,562.30
  4. Step 4: Simplify right side
    17,802.60x = 357,470,680.46
  5. Step 5: Solve for x
    x = 357,470,680.46/17,802.60
  6. Step 6: Final answer
    x = 20,079.69

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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.