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Finding the Fourth Proportional to 14,038.08, 19,364.16 and 8,448

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Solution

The fourth proportional to 14,038.08, 19,364.16 and 8,448 is: 11,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.08 : 19,364.16 = 8,448 : x
  2. Step 2: Convert to fraction form
    14,038.08/19,364.16 = 8,448/x
  3. Step 3: Cross multiply
    14,038.08x = 19,364.16 × 8,448
  4. Step 4: Simplify right side
    14,038.08x = 163,588,423.68
  5. Step 5: Solve for x
    x = 163,588,423.68/14,038.08
  6. Step 6: Final answer
    x = 11,653.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.