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Finding the Fourth Proportional to 17,447.59, 24,068.50 and 10,369

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Solution

The fourth proportional to 17,447.59, 24,068.50 and 10,369 is: 14,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.59 : 24,068.50 = 10,369 : x
  2. Step 2: Convert to fraction form
    17,447.59/24,068.50 = 10,369/x
  3. Step 3: Cross multiply
    17,447.59x = 24,068.50 × 10,369
  4. Step 4: Simplify right side
    17,447.59x = 249,566,276.50
  5. Step 5: Solve for x
    x = 249,566,276.50/17,447.59
  6. Step 6: Final answer
    x = 14,303.77

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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.