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Finding the Fourth Proportional to 23,470.49, 32,389.35 and 12,715.47

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Solution

The fourth proportional to 23,470.49, 32,389.35 and 12,715.47 is: 17,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.49 : 32,389.35 = 12,715.47 : x
  2. Step 2: Convert to fraction form
    23,470.49/32,389.35 = 12,715.47/x
  3. Step 3: Cross multiply
    23,470.49x = 32,389.35 × 12,715.47
  4. Step 4: Simplify right side
    23,470.49x = 411,845,808.24
  5. Step 5: Solve for x
    x = 411,845,808.24/23,470.49
  6. Step 6: Final answer
    x = 17,547.39

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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.